Generalized Lagrangian mean curvature flows in almost Calabi–Yau manifolds
Tài liệu tham khảo
Strominger, 1996, Mirror symmetry is T-duality, Nuclear Phys. B, 479, 243, 10.1016/0550-3213(96)00434-8
K. Smoczyk, A canonical way to deform a Lagrangian submanifold, 1996. arXiv:dg-ga/9605005
Chen, 2004, Singularity of mean curvature flow of Lagrangian submanifolds, Invent. Math., 156, 25, 10.1007/s00222-003-0332-5
Neves, 2007, Singularities of Lagrangian mean curvature flow: zero-Maslov class case, Invent. Math., 168, 449, 10.1007/s00222-007-0036-3
Thomas, 2002, Special Lagrangians, stable bundles and mean curvature flow, Comm. Anal. Geom., 10, 1075, 10.4310/CAG.2002.v10.n5.a8
Wang, 2001, Mean curvature flow of surfaces in Einstein four manifolds, J. Differential Geom., 57, 301, 10.4310/jdg/1090348113
Behrndt, 2011, Generalized Lagrangian mean curvature flow in Kähler manifolds that are almost Einstein, vol. 8, 65
Smoczyk, 2011, Generalized Lagrangian mean curvature flows in symplectic manifolds, Asian J. Math., 15, 129, 10.4310/AJM.2011.v15.n1.a7
Joyce, 2007, Riemannian holonomy groups and calibrated geometry
Harvey, 1982, Calibrated geometries, Acta Math., 148, 47, 10.1007/BF02392726
Huisken, 1990, Asymptotic behavior for singularities of the mean curvature flow, J. Differential Geom., 31, 285, 10.4310/jdg/1214444099
Smoczyk, 2000, The Lagrangian mean curvature flow (Der Lagrangesche mittlere Krümmungsfluβ), Leipzig: Univ. Leipzig (Habil.), 102 S.
Groh, 2007, Mean curvature flow of monotone Lagrangian submanifolds, Math. Z., 257, 295, 10.1007/s00209-007-0126-3
Li, 2014, Generalized symplectic mean curvature flows in almost Einstein surfaces, Chin. Ann. Math. Ser. B, 35, 33, 10.1007/s11401-013-0817-5
Han, 2012, ε0-regularity for mean curvature flow from surface to flat Riemannian manifold, Acta Math. Sinica, Engl. Ser. Mar., 28, 1475, 10.1007/s10114-012-9271-7
Huisken, 1986, Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature, Invent. Math., 84, 463, 10.1007/BF01388742
Chen, 2001, Mean curvature flow of surfaces in 4-manifolds, Adv. Math., 163, 287, 10.1006/aima.2001.2008
Ilmanen, 1994, Elliptic regularization and partial regularity for motion by mean curvature, Mem. Amer. Math. Soc., 520
T. Colding, W.P. Minicozzi, Minimal surfaces, in: Courant Lecture Notes in Mathematics, New York, 1999