Prof. Dr. Knut Smoczyk

Homepage:

http://service.ifam.uni-hannover.de/~smoczyk/

Publikationen:

• Preprints:
  
  [x] Savas-Halilaj, Andreas; Smoczyk, Knut
  Lagrangian mean curvature flow of Whitney spheres.
  arXiv: 1802.06304v1 (2018).
  
  [x] Smoczyk, Knut
  Local non-collapsing of volume for the Lagrangian mean curvature flow.
  arXiv: 1801.07303v1 (2018).
  
  [x] Smoczyk, Knut
  A canonical way to deform a Lagrangian submanifold.
  This paper was the foundation of the Lagrangian mean curvature flow but was published only on arXiv.
  arXiv:dg-ga/9605005 (1996).
  
  
• In Print:
  
  [40] Smoczyk, Knut; Tsui, Mao-Pei; Wang, Mu-Tao
  Generalized Lagrangian mean curvature flows: the cotangent bundle case.
  J. Reine Angew. Math. (Crelle)
  arXiv: 1604.02936 (2016).
  
  [39] Martin, Francisco; Perez-Garcia, Jesus; Savas-Halilaj, Andreas; Smoczyk, Knut
  A characterization of the grim reaper cylinder.
  J. Reine Angew. Math. (Crelle)
  arXiv: 1508.01539v2 (2015).
  
  
• Published (Zentralblatt):
  
  [38] Savas-Halilaj, Andreas; Smoczyk, Knut
  Mean curvature flow of area decreasing maps between Riemann surfaces.
  Annals of Global Analysis and Geometry, 53, No. 1, 11--37 (2018).
  arXiv:1602.07595 (2016).
  
  [37] Smoczyk, Knut; Tsui, Mao-Pei; Wang, Mu-Tao
  Curvature decay estimates for mean curvature flow in higher codimensions.
  Transaction of the AMS, 368, No.11, 7763--7775 (2016).
  arXiv:1401.4154 (2014).
  
  [36] Martin, Francisco; Savas-Halilaj, Andreas; Smoczyk, Knut
  On the topology of translating solitons of the mean curvature flow.
  Calc. Var. Partial Differ. Equ. 54, No. 3, 2853-2882 (2015).
  arXiv:1404.6703 (2014).
  
  [35] Savas-Halilaj, Andreas; Smoczyk, Knut
  Evolution of contractions by mean curvature flow.
  Math. Ann. 361, No. 3-4, 725-740 (2015).
  arXiv:1312.0783 (2013).
  
  [34] Savas-Halilaj, Andreas; Smoczyk, Knut
  Bernstein theorems for length and area decreasing minimal maps.
  Calc. Var. Partial Differ. Equ. 50, No. 3-4, 549-577 (2014).
  arXiv: 1205.2379 (2012) (Former title: The strong elliptic maximum principle for vector bundles and applications to minimal maps).
  
  [33] Savas-Halilaj, Andreas; Smoczyk, Knut
  Homotopy of area decreasing maps by mean curvature flow.
  Adv. Math. 255, 455-473 (2014).
  arXiv:1302.0748 (2013).
  
  [32] Smoczyk, Knut
  Evolution of spacelike surfaces in AdS₃ by their Lagrangian angle.
  Math. Ann. 355, No. 4, 1443-1468 (2013).
  arXiv:1107.1836 (2011).
  
  [31] Smoczyk, Knut
  Mean curvature flow in higher codimension: introduction and survey.
  In: Bär, Christian (ed.) et al., Global differential geometry. Berlin: Springer (ISBN 978-3-642-22841-4/hbk; 978-3-642-22842-1/ebook). Springer Proceedings in Mathematics 17, 231-274 (2012).
  arXiv:1104.3222 (2011).
  
  [30] Smoczyk, Knut
  On algebraic selfsimilar solutions of the mean curvature flow.
  Analysis, München 31, No. 1, 91-102 (2011).
  
  [29] Smoczyk, Knut; Wang, Mu-Tao
  Generalized Lagrangian mean curvature flows in symplectic manifolds.
  Asian J. Math. 15, No. 1, 129-140 (2011).
  arXiv:0910.2667 (2009).
  
  [28] Ebeling, Wolfgang (ed.); Hulek, Klaus (ed.); Smoczyk, Knut (ed.)
  Complex and differential geometry.
  Conference held at Leibniz Universität Hannover, Germany, September 14–18, 2009. Proceedings.
  Springer Proceedings in Mathematics 8. Berlin: Springer (ISBN 978-3-642-20299-5/hbk; 978-3-642-20300-8/ebook). ix, 420 p.
  
  [27] Chursin, Mykhaylo; Schäfer, Lars; Smoczyk, Knut
  Mean curvature flow of space-like Lagrangian submanifolds in almost para-Kähler manifolds.
  Calc. Var. Partial Differ. Equ. 41, No. 1-2, 111-125 (2011).
  
  [26] Smoczyk, Knut
  Curve shortening on Sasaki manifolds and the Weinstein conjecture.
  East-West J. Math., Spec. Vol., 292-305 (2010).
  
  [25] Smoczyk, Knut; Wang, Guofang; Zhang, Yongbing
  The Sasaki-Ricci flow.
  Int. J. Math. 21, No. 7, 951-969 (2010).
  
  [24] Schäfer, Lars; Smoczyk, Knut
  Decomposition and minimality of Lagrangian submanifolds in nearly Kähler manifolds.
  Ann. Global Anal. Geom. 37, No. 3, 221-240 (2010).
  arXiv:0904.3683 (2009).
  
  [23] Lefloch, Philippe G.; Smoczyk, Knut
  The hyperbolic mean curvature flow.
  J. Math. Pures Appl. (9) 90, No. 6, 591-614 (2008).
  arXiv:0712.0091 (2007).
  
  [22] Groh, K.; Schwarz, M.; Smoczyk, K.; Zehmisch, K.
  Mean curvature flow of monotone Lagrangian submanifolds.
  Math. Z. 257, No. 2, 295-327 (2007).
  arXiv:math/0606428 (2006).
  
  [21] Smoczyk, Knut; Wang, Guofang; Xin, Y.L.
  Bernstein type theorems with flat normal bundle.
  Calc. Var. Partial Differ. Equ. 26, No. 1, 57-67 (2006).
  
  [20] Smoczyk, Knut
  A representation formula for the inverse harmonic mean curvature flow.
  Elem. Math. 60, No. 2, 57-65 (2005).
  
  [19] Smoczyk, Knut
  Self-shrinkers of the mean curvature flow in arbitrary codimension.
  Int. Math. Res. Not. 2005, No. 48, 2983-3004 (2005).
  arXiv:math/0507325 (2005).
  
  [18] Smoczyk, Knut
  Longtime existence of the Lagrangian mean curvature flow.
  Calc. Var. Partial Differ. Equ. 20, No. 1, 25-46 (2004).
  
  [17] Schnürer, Oliver C.; Smoczyk, Knut
  Neumann and second boundary value problems for Hessian and Gauß curvature flows.
  Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No.6, 1043-1073 (2003).
  
  [16] Smoczyk, Knut
  Closed Legendre geodesics in Sasaki manifolds.
  New York J. Math. 9, 23-47, electronic only (2003).
  
  [15] Smoczyk, Knut; Wang, Mu-Tao
  Mean curvature flows of Lagrangian submanifolds with convex potentials.
  J. Differ. Geom. 62, No. 2, 243-257 (2002).
  arXiv:math/0209349 (2002).
  
  [14] Smoczyk, Knut
  Angle theorems for the Lagrangian mean curvature flow.
  Math. Z. 240, No.4, 849-883 (2002).
  
  [13] Smoczyk, K.
  Prescribing the Maslov form of Lagrangian immersions.
  Geom. Dedicata 91, 59-69 (2002).
  
  [12] Schnürer, Oliver C.; Smoczyk, Knut
  Evolution of hypersurfaces in central force fields.
  J. Reine Angew. Math. (Crelle) 550, 77-95 (2002).
  
  [11] Smoczyk, Knut
  Note on the spectrum of the Hodge-Laplacian for k-forms on minimal Legendre submanifolds in S²ⁿ⁺¹.
  Calc. Var. Partial Differ. Equ. 14, No.1, 107-113 (2002).
  
  [10] Smoczyk, Knut
  A relation between mean curvature flow solitons and minimal submanifolds.
  Math. Nachr. 229, 175-186 (2001).
  
  [09] Hungerbühler, N.; Smoczyk, K.
  Soliton solutions for the mean curvature flow.
  Differ. Integral Equ. 13, No.10-12, 1321-1345 (2000).
  
  [08] Smoczyk, Knut
  Remarks on the inverse mean curvature flow.
  Asian J. Math. 4, No.2, 331-335 (2000).
  
  [07] Smoczyk, Knut
  The Lagrangian mean curvature flow.
  (Der Lagrangesche mittlere Krümmungsfluss.)
  Universität Leipzig (Habilitation), 102 Seiten (2000).
  
  [06] Smoczyk, Knut
  Nonexistence of minimal Lagrangian spheres in hyperKähler manifolds.
  Calc. Var. Partial Differ. Equ. 10, No.1, 41-48 (2000).
  
  [05] Smoczyk, Knut
  Harnack inequality for the Lagrangian mean curvature flow.
  Calc. Var. Partial Differ. Equ. 8, No.3, 247-258 (1999).
  
  [04] Smoczyk, Knut
  Starshaped hypersurfaces and the mean curvature flow.
  Manuscr. Math. 95, No.2, 225-236 (1998).
  
  [03] Smoczyk, Knut
  Harnack inequalities for curvature flows depending on mean curvature.
  New York J. Math. 3, 103-118, electronic only (1997).
  
  [02] Smoczyk, Knut
  Symmetric hypersurfaces in Riemannian manifolds contracting to Lie groups by their mean curvature.
  Calc. Var. Partial Differ. Equ. 4, No.2, 155-170 (1996).
  
  [01] Smoczyk, Knut
  The symmetric ‘doughnut’ evolving by its mean curvature.
  Hokkaido Math. J. 23, No.3, 523-547 (1994).