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Preprints

Petrecca, D., Schäfer, L. (2016): Second variation for L-minimal Legendrian submanifolds in pseudo-Sasakian manifolds
arXiv: 1604.00835

Savas-Halilaj. A., Smoczyk, K. (2016): Mean curvature flow of area decreasing maps between Riemann surfaces
arXiv: 1602.07595

Calamai, S., Petrecca, D., Zheng, K. (2015): Existence of geodesics for the gradient metric and for the Ebin metric on the spaces of Kähler and Sasakian metrics
arXiv: 1405.1211

Li, H., Wang, B., Zheng, K. (2015): Regularity scales and convergence of the Calabi flow
arXiv: 1501.01851

Li, L., Zheng, K. (2015): Uniqueness of Kähler-Einstein metrics with cone singularities

Zheng, K. (2015): Lagrangian submanifolds in almost Kähler manifolds

Zheng, K. (2015): I-properness of Mabuchi's K-energy
arXiv: 14.10.1821

Martin, F., Savas-Halilaj, A., Smoczyk, K.  (2014): On the topology of translating solitons of the mean curvature flow
arXiv: 1404.6703

Smoczyk, K., Tsui, M.-P., Wang, M.-T. (2014): Curvature decay estimates for mean curvature flow in higher codimensions
arXiv: 1401.4154

Zheng, K. (2014): Kähler metrics with cone singularities and uniqueness problem, Birkhäuser Trends in Mathematics series (to appear 2014)

Li, H. Z., Zheng, K. (2013): Kähler non-collapsing, eigenvalues and the Calabi flow
arXiv: 1309.4304

Savas-Halilaj, A., Smoczyk, K.  (2013): Evolution of contractions by mean curvature flow
arXiv: 1312.0783

Calamai, S., Zheng, K. (2012): Geodesics in the space of Kähler cone metrics
arXiv: 1205.0056

Calamai, S., Zheng, K. (2012): The Dirichlet and the weighted metrics for the space of Kähler metrics
arXiv: 1202.6610

Savas-Halilaj, A., Smoczyk, K. (2012): Bernstein theorems for length and area decreasing minimal maps, Calculus of Variations (to appear 2014)
DOI: 10.1007/s00526-013-0646-0
arXiv: 1205.2379

Artikel

Afuni, A. (2016): Local monotonicity for the Yang-Mills-Higgs flow, Calc. Var., 55:13.

Calamai, S., Petrecca, D. (2016): On Calabi extremal Kähler-Ricci solitons, Proc. Amer. Math. Soc. 144, no. 2, 813-821.

Calamai, S., Petrecca, D., Zheng, K. (2016): On the geodesic problem for the Dirichlet metric and the Ebin metric on the space of Sasakian metrics, New York J. Math. 22, 1111-1133.

Dajczer, M., Kasioumis, Th., Savas-Halilaj, A., Vlachos, Th. (2016): Complete minimal submanifolds with nullity in Euclidean space, Mathematische Zeitschrift, 1-11.

Dancer, A., Kirwan, F., Röser, M.  (2016): Hyperkähler Implosion and Nahm's Equations, Mathematical Physics, 342(1), 251-301.

Martin, F., Perez, J., Savas-Halilaj, A., Smoczyk, K. (2016): A characterization of the grim reaper cylinder, J. Reine Angew. Math. (Crelle's Journal), 1-26.

Petrecca, D. (2016): On Sasaki-Ricci solitons and their deformations, Adv. Geom. 16, no. 1, 57-70.

Smoczyk, K., Tsui, M.-P., Wang, M.-T. (2016): Curvature decay estimates of graphical mean curvature flow in higher codimensions, Trans. Amer. Math. Soc. 368, no. 11, 7763-7775.

Martin, F., Savas-Halilaj, A., Smoczyk, K.  (2015): On the topology of translating solitons of the mean curvature flow, Calc. Var. Partial Differential Equations 54, 2853-2882.

Savas-Halilaj, A., Smoczyk, K. (2015): Evolution of contractions by mean curvature flow, Math. Ann. 361, 725-740.

Schäfer, L. (2015): Integrability of generalized pluriharmonic maps, Manuscripta Math. 146 (2015), no. 3-4, 473–493.

Schäfer, L.  (2015): Integability of generalized pluriharmonic maps, Manuscripta Math. 146, no. 3-4, 473-493.

Bielawski, R. (2014): Hyperkähler manifolds of curves in twistor spaces, SIGMA 10 (Special Issue on Progress in Twistor Theory)

Calamai, S., Petrecca, D. (2014): On minimal Legendrian submanifolds of Sasaki-Einstein manifolds, Internat. J. Math. 25, no. 9, 1450083 (16 pages).

Lubbe, F., Schäfer, L.  (2014): Pseudo-holomorphic curves in nearly Kähler manifolds. (English summary) , Differential Geom. Appl. 36 (2014), 24–43.

Röser, M. (2014): Harmonic Maps and Hypersymplectic Geometry, Journal of Geometry and Physics 78, 111-126.

Savas-Halilaj, A., Smoczyk, K. (2014): Homotopy of area decreasing maps by mean curvature flow, Advances in Mathematics 255, 455-473.
DOI: 10.1016/j.aim.2014.01.014
arXiv: 1302.0748

Schäfer, L. (2014): Conical Ricci-flat nearly para-Kähler manifolds, Ann. Global Anal. Geom. 45, no. 1, 11-24.
DOI: 10.1007/s10455-013-9385-x

Bielawski, R.  (2013): Nonnegative polynomials from vector bundles on real curves, Bull. London Math. Soc. 45, 1019-1025.
DOI: 10.1112/blms/bdt034

Bielawski, R.  (2013): Quivers and Poisson structures , Manuscripta Math. 141, no. 1-2, 29-49.
DOI: 10.1007/s00229-012-0558-x

Bielawski, R., Schwachhöfer, L.  (2013): Hypercomplex limits of pluricomplex structures and the Euclidean limit of hyperbolic monopoles, Ann. Global Anal. Geom. 44, 245-256.
DOI: 10.1007/s10455-013-9364-2

Bielawski, R., Schwachhöfer, L.  (2013): Sheaves on P1 x P1, bigraded resolutions, and coadjoint orbits of loop groups, Proc. Amer. Math. Soc. 141, no. 12, 4155-4167.
DOI: 10.1090/S0002-9939-2013-11706-5

Bielawski, R., Schwachhöfer, L.  (2013): Pluricomplex geometry and hyperbolic monopoles, Commun. Math. Phys. 323, 1-34.
DOI: 10.1007/s00220-013-1761-7

Chen, X. X., Zheng, K. (2013): The pseudo-Calabi flow, Journal für die reine und angewandte Mathematik (Crelles Journal), Vol. 2013, 674, 195-251.
DOI: 10.1515/crelle.2012.033

Schäfer, L. (2013): On the HSL-flow, Calc. Var. Partial Differential Equations 46, no. 1-2, 311-323.
DOI: 10.1007/s00526-011-0483-y

Schäfer, L. (2013): Lorentzian Legendrian mean curvature flow, Math. Z. 274, no. 3-4, 1093-1111.
DOI: 10.1007/s00209-012-1107-8

Smoczyk, K. (2013): Evolution of spacelike surfaces in anti-De sitter space by their Lagrangian angle, Mathematische Annalen 355, no. 4, 1443-1468.
DOI: 10.1007/s00208-012-0827-8

Zheng, K. (2013): Stability of Kähler-Ricci-flow in the space of Kähler metrics, Pacific J. Math. 251, no. 2, 469-497.
DOI: 10.2140/pjm.2011.251.469

Bergner, M., Escher, J., Lippoth, F.-M. (2012): On the blow up scenario for a class of parabolic moving boundary problems, Nonlinear Anal. 75 (2012), no. 10, 3951–3963.

Bergner, M., Schäfer, L.  (2012): Surfaces of prescribed mean curvature vector in semi-Riemannian manifolds, Journal of Mathematical Analysis and Applications 395 no. 1, 144-155.

Bergner, M., Schäfer, L. (2012): Isometric embedding of semi-Riemannian metrics into Minkowski space, Analysis (Munich) 31, no. 4, 313–329.

Huang, H. N., Zheng, K. (2012): Stability of Calabi flow near an extremal metric, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 11, no. 1, 167-175
arXiv: 1007.4571

Huang, H., Zheng, K. (2012): Stability of the Calabi flow near an extremal metric, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 11 (2012), no. 1, 167–175.
arXiv: 1007.4571

Schäfer, L. (2012): Mean curvature flow in S-manifolds, Math. Phys. Anal. Geom. 15, no. 3, 231–255.

Schäfer, L. (2012): Foliations of semi-Riemannian manifolds, Results in Mathematics 61, no. 1, 97-126.

Smoczyk, K. (2012): Mean curvature flow in higher codimension - Introduction and survey, in: Bär, Christian; Lohkamp, Joachim; Schwarz, Matthias (eds.), Global Differential Geometry, Springer Proceedings in Mathematics, 2012, Volume 17, Part 2, 231-274.
DOI: 10.1007/978-3-642-22842-1_9
arXiv: 1104.3222

Bergner, M., Jakob, R. (2011): Exclusion of boundary branch points of minimal surfaces, Analysis (Munich) 31(2), 181--190.

Bergner, M., Schäfer, L. (2011): On time-like Willmore surfaces in Minkowski space, J. Geom. Phys. 61(10), 1985--1995.

Bergner, M., Schäfer, L. (2011): Time-like surfaces of prescribed anisotropic mean curvature in Minkowski space, Proceedings of 8th AIMS Conference, Discrete and continous dynamical systems, 155-162.

Bielawski, R., Pidstrygach, V.  (2011): On the symplectic structure of instanton moduli spaces, Adv. Math. 226, no. 3, 2796--2824.

Chursin, M., Schäfer, L., Smoczyk, K. (2011): Mean curvature flow of space-like Lagrangian submanifolds in almost para-Kähler manifolds, Calc. Var. 41(1-2), 111--125,  | Datei |
DOI: 10.1007/s00526-010-0355-x

Cortés, V., Leistner, T., Schäfer, L., Schulte-Hengesbach, F. (2011): Half-flat structures and special holonomy, Proc. Lond. Math. Soc. (3) 102(1), 113-158.

Schäfer, L. (2011): On the structure of nearly pseudo-Kähler manifolds, Monatsh. Math. 163(3), 339--371.

Smoczyk, K. Wang, M.-T.  (2011): Generalized Lagrangian mean curvature flows in symplectic manifolds, Asian J. Math. 15(1), 129--140.
arXiv: 0910.2667

Smoczyk, K.  (2011): On algebraic selfsimilar solutions of the mean curvature flow, Analysis (Munich) 31(1), 91--102.  | Datei |
DOI: 10.1524/anly.2011.0941

Smoczyk, K. (2011): Evolution of spacelike surfaces in anti-De Sitter space by their Lagrangian angle, Mathematische Annalen, 2013, Volume 355, no. 4, 1443-1468
DOI: 10.1007/s00208-012-0827-8
arXiv: 1107.1836

Bergner, M. (2010): A halfspace theorem for proper, negatively curved immersions , Ann. Global Anal. Geom. 38(2), 191--199.

Bergner, M., Dall'Aqua, A., Fröhlich, St. (2010): Symmetric Willmore surfaces of revolution satisfying natural boundary conditions, Calc. Var. 39(3-4), 361--378.

Dorfmeister, J., Li, T.-J. (2010): The relative symplectic cone and $T^2$-fibrations, J. Symplectic Geom. 8(1), 1--35.

Schäfer, L., Schulte-Hengesbach, F. (2010): Nearly pseudo-Kähler and nearly para-Kähler six-manifolds, Handbook of pseudo-Riemannian geometry and supersymmetry, IRMA Lect. Math. Theor. Phys. 16, 425-453.

Schäfer, L., Smoczyk, K. (2010): Decomposition and minimality of Lagrangian submanifolds in nearly Kähler manifolds, Ann. Global Anal. Geom. 37(3), 221--240.
DOI: 10.1007/s10455-009-9181-9
arXiv: 0904.3683

Smoczyk, K. (2010): Curve Shortening on Sasaki Manifolds and the Weinstein Conjecture, East-West J. Math., Special Vol., 292--305.  | Datei |

Smoczyk, K., Wang, G., Zhang, Y. (2010): The Sasaki-Ricci flow, Inter. J. of Math. 21(7), 951--969.  | Datei |
DOI: 10.1142/S0129167X10006331

Bergner, M.  (2009): On the Dirichlet problem for the prescribed mean curvature equation over general domains. , Differential Geometry and its Applications 27(3), 335-343.

Bielawski, R. (2009): Line bundles on spectral curves and the generalised Legendre transform construction of hyperkaehler metrics , J. Geom. Phys., 59, 374--390.

Cortes, V., Schäfer, L. (2009): Geometric structures on Lie groups with flat bi-invariant metric , Journal of Lie Theory 19, 423-437.

Bielawski, R. (2008): Curvature of hyperkaehler quotients, Cent. Eur. J. Math. 6, 191--203.

Bielawski, R.  (2008): Monopoles and clusters, Commun. Math. Phys. 284, 675--712.

Bielawski, R., Pidstrygach, V.  (2008): Gelfand-Zeitlin actions and rational maps, Math. Zeit. 260, 779--803.

Cortes, V., Schäfer, L. (2008): Differential geometric aspects of the tt*-equations, Proceedings of the Conference "From tQFT to tt* and integrability", Eds. Donagi, R. and Wendlang, K., Proc. Sympos. Pure Math. 78, 75-86.

LeFloch, P. G., Smoczyk, K. (2008): The hyperbolic mean curvature flow, Journal de Mathématiques Pures et Appliquées (9) 90, no. 6, 591--614.
DOI: 10.1016/j.matpur.2008.09.006
arXiv: 0712.0091

Schäfer, L.  (2008): On tt*-bundles and related pluriharmonic maps, Proceedings of the DGDS-2007 15, 198-210.

Schäfer, L. (2008): Variations of (para-)Hodge structures and their period maps in tt*-geometry, Beiträge zur Algebra und Geometrie 49, 285-300.

Schäfer, L.  (2008): A geometric construction of (para-)pluriharmonic maps into GL(2r)/Sp(2r), Balkan J. of Geom. and Appl. 13, 86-101.

Bielawski, R. (2007): Reducible spectral curves and the hyperkaehler geometry of adjoint orbits, J. London Math. Soc. 76, 719--738.

Bielawski, R.  (2007): Lie groups, hyperkaehler metrics and Nahm's equations in Algebraic groups (edited by Yuri Tschinkel) Proceedings of the Summer School held in Goettingen, June 27 - July 13, 2005, Universitaetsverlag Goettingen, Goettingen, pp. 1--17.

Groh, K., Schwarz, M., Smoczyk, K., Zehmisch, K. (2007): Mean curvature flow of monotone Lagrangian submanifolds, Math. Z. 257, no. 2, 295--327.
DOI: 10.1007/s00209-007-0126-3
arXiv: math/0606428

Bielawski, R.  (2006): Manifolds with an SU(2)-action on the tangent bundle, Trans. Amer. Math. Soc. 358, no. 9, 3997--4019.

Smoczyk, K. Wang, G., Y.L. Xin, Y. L.  (2006): Bernstein type theorems with flat normal bundle, Calc. Var. Partial Differential Equations 26, no. 1, 57--67.  | Datei |
DOI: 10.1007/s00526-005-0359-0

Smoczyk, K. (2005): Self-shrinkers of the mean curvature flow in arbitrary codimension, Int. Math. Res. Not. 2005, no. 48, 2983--3004.
DOI: 10.1155/IMRN.2005.2983
arXiv: math/0507325

Smoczyk, K. (2005): A representation formula for the inverse harmonic mean curvature flow, Elemente der Mathematik; 2005; Vol. 60; 57--65.  | Datei |
DOI: 10.4171/EM/9

Bielawski, R.  (2004): Prescribing Ricci curvature on complexified symmetric spaces, Math. Res. Lett. 11, 435--441.

Bielawski, R.  (2004): Entire invariant solutions to Monge-Ampère equations, Proc. Amer. Math. Soc. 132, no. 9, 2679--2682.

Smoczyk, K. (2004): Longtime existence of the Lagrangian mean curvature flow, Calc. Var.; 2004; Vol. 20; 25--46.  | Datei |
DOI: 10.1007/s00526-003-0226-9

Bielawski, R.  (2003): Complexification and hypercomplexification of manifolds with a linear connection, Internat. J. Math. 14, 813--824.

Bielawski, R.  (2003): Kaehler metrics on G^C, J. reine angew. Math. 559, 123--136

Schnürer, O., Smoczyk, K. (2003): Neumann and second boundary value problems for Hessian and Gauss curvature flows, Annales de l'Institut Henri Poincare (C) Non Linear Analysis; 2003; Vol. 20; 1043--1073.  | Datei |
DOI: 10.1016/S0294-1449(03)00021-0

Smoczyk, K. (2003): Closed Legendre geodesics in Sasaki manifolds, New York Journal of Mathematics; 2003; Vol. 9; 23--47.  | Datei |

Atiyah, M., Bielawski, R.  (2002): Nahms's equations, configuration spaces and flag manifolds, Bull. Brazillian Math. Soc. 33, 157--176

Bielawski, R.  (2002): Ricci-flat Kaehler metrics on canonical bundles, Math. Proc. Cambridge Phil. Soc. 132, 471--479.

Schnürer, O., Smoczyk, K. (2002): Evolution of hypersurfaces in central force fields, Journal für die reine und angewandte Mathematik (Crelle's Journal); 2002; Vol. 550; 77--95.  | Datei |
DOI: 10.1515/crll.2002.075

Smoczyk, K. (2002): Prescribing the Maslov form of Lagrangian immersions, Geometriae Dedicata; 2002; Vol. 91; 59--69.  | Datei |
DOI: 10.1023/A:1016238817734

Smoczyk, K. (2002): Angle theorems for the Lagrangian mean curvature flow, Mathematische Zeitschrift; 2002; Vol. 240; 849--883.  | Datei |
DOI: 10.1007/s002090100402

Smoczyk, K. (2002): Note on the spectrum of the Hodge-Laplacian for k-forms on minimal Legendre submanifolds in S^{2n+1}, Calc. Var.; 2002; Vol. 14; 107-113.  | Datei |
DOI: 10.1007/s005260100095

Smoczyk, K., Wang, M.-T. (2002): Mean curvature flows for Lagrangian submanifolds with convex potentials, Journal of Differential Geometry; 2002; Vol. 62; 243--257.
arXiv: math/0209349

Bielawski, R.  (2001): Twistor quotients of hyperkaehler manifolds, Quaternionic structures in mathematics and physics (Rome 1999), 7--21, World Sci. Publishing, River Edge, NJ.

Smoczyk, K. (2001): A relation between mean curvature flow solitons and minimal submanifolds, Mathematischen Nachrichten; 2001; Vol. 229; 175--186.  | Datei |
DOI: 10.1002/1522-2616(200109)229:1<175::AID-MANA175>3.3.CO;2-8

Bielawski, R.  (2000): The geometry and topology of toric hyperkaehler manifolds , Comm. Anal. Geom. 8, 727--759.

Hungerbühler, N., Smoczyk, K. (2000): Soliton solutions for the mean curvature flow, Differential Integral Equations; 2000; Vol. 13; 1321--1345.  | Datei |

Smoczyk (2000): Remarks on the inverse mean curvature flow, Asian J. Math.; 2000; Vol. 4; 331--336.  | Datei |

Smoczyk, K. (2000): The Lagrangian mean curvature flow (Der Lagrangesche mittlere Krümmungsfluss), Universität Leipzig (Habilitation), 1999/2000.  | Datei |

Smoczyk, K. (2000): Nonexistence of minimal Lagrangian spheres in hyper-Kähler manifolds, Calc. Var.; 2000; Vol. 10; 41--48.  | Datei |
DOI: 10.1007/PL00013454

Bielawski, R.  (1999): Complete hyperkaehler manifolds with a local tri-Hamiltonian R^n-action, Math. Ann. 314, 505--528.

Smoczyk, K. (1999): Harnack inequality for the Lagrangian mean curvature flow, Calculus of Variations; 1999; Vol. 8; 247--258.  | Datei |
DOI: 10.1007/s005260050125

Bielawski, R.  (1998): Asymptotic metrics for SU(N)-monopoles , Comm. Math. Phys. 199, 297--325.

Bielawski, R.  (1998): Monopoles and the Gibbons-Manton metric, Comm. Math. Phys. 194, 297--321.

Smoczyk, K. (1998): Starshaped hypersurfaces and the mean curvature flow, manuscripta mathematica; 1998; Vol. 95; 225--236.  | Datei |
DOI: 10.1007/s002290050025

Bielawski, R.  (1997): Betti numbers of 3-Sasakian quotients of spheres by tori, Bull. London Math. Soc. 29, 731--736.

Bielawski, R.  (1997): Invariant hyperkaehler metrics with a homogeneous complex structure, Math. Proc. Cambridge Philos. Soc. 122, 473--482.

Bielawski, R.  (1997): Hyperkaehler structures and group actions, J. London Math. Soc. 55, 400--414.

Smoczyk, K. (1997): Harnack inequalities for curvature flows depending on mean curvature, New York Journal of Mathematics; 1997; Vol. 3; 103--118.  | Datei |

Bielawski, R.  (1996): Existence of closed geodesics on the moduli space of k-monopoles , Nonlinearity 9, 1463--1467.

Bielawski, R.  (1996): On the hyperkaehler metrics associated to singularities of nilpotent varieties, Ann. Glob. Anal. Geom. 14, 177--191.

Bielawski, R.  (1996): Monopoles, particles and rational functions, Ann. Glob. Anal. Geom. 14, 123--145.

Smoczyk, K. (1996): Symmetric hypersurfaces in Riemannian manifolds contracting to Lie-groups by their mean curvature, Calc. Var.; 1996; Vol. 4; 155--170.  | Datei |
DOI: 10.1007/BF01189952

Bielawski, R.  (1995): Asymptotic behaviour of SU(2) monopole metrics, J. Reine und Angew. Math. 468, 139--165.

Smoczyk, K. (1994): The symmetric doughnut evolving by its mean curvature, Hokkaido Mathematical Journal; 1994; Vol. 23; 523--547.

Bielawski, R. , Górniewicz, L., Plaskacz, S.  (1992): Topological approach to differential inclusions on closed subset of R^n, Dynamics reported: expositions in dynamical systems, 225--250, Dynam. Report. (N.S.), 1, Springer, Berlin.

Bielawski, R.  (1989): A selection theorem for open-graph multifunctions, Fund. Math. 133, 97--100.

Bielawski, R., Górniewicz, L. (1989): A fixed point index approach to some differential equations , Topological fixed point theory and applications (Tianjin),9--14, Lecture Notes in Math., 1411, Springer, Berlin.

Bielawski, R. (1987): The fixed point index for acyclic maps on ENRs, Bull. Polish Acad. Sci. Math. 35, 487--499.

Bielawski, R.  (1987): Simplicial convexity and its applications, J. Math. Anal. Appl. 127, 155--171.

Bielawski, R., Górniewicz, L.  (1986): Some applications of the Leray-Schauder alternative to differential equations, Nonlinear functional analysis and its applications (Maratea), 187--194, NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci., 173, Reidel, Dordrecht-Boston, Mass.

Bücher

Zheng, K. (2015): Kähler metrics with cone singularities and uniqueness problem. Current Trends in Analysis and its Applications, Proceedings of the 9th ISAAC Congress, Krakow 2013 (2015), 395-408.

Bielawski, R., Houston, K., Speight, J. M.  (2012): Variational problems in differential geometry. Proceedings of the workshop held at the University of Leeds, Leeds, March 30–April 2, 2009, London Mathematical Society Lecture Note Series, 394. Cambridge University Press, Cambridge, 2012. xiv+201 pp. ISBN: 978-0-521-28274-1.

Ebeling, W. (ed.), Hulek, K. (ed.), Smoczyk, K. (ed.) (2011): Complex and differential geometry. Conference held at Leibniz Universität Hannover, Germany, September 14--18, 2009, Springer Proceedings in Mathematics 8.
DOI: 10.1007/978-3-642-20300-8