Complete self-shrinking solutions for Lagrangian mean curvature flow in pseudo-Euclidean space

DOI10.1155/2014/196751zbMath1476.53114OpenAlexW2057168028WikidataQ59035963 ScholiaQ59035963MaRDI QIDQ1722328

Linfen Cao, Ruiwei Xu

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/196751

zbMATH Keywords

pseudo-Euclidean spacespace-like self-shrinkercomplete self-shrinkersLagrangian graph

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Non-Euclidean differential geometry (53A35) Flows related to mean curvature (53E10) Flows related to symplectic and contact structures (53E50)

Cites Work

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• On the rigidity theorems for Lagrangian translating solitons in pseudo-Euclidean space. I
• Generic mean curvature flow. I: Generic singularities
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• Mean curvature flow with bounded Gauss image
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• Mean curvature evolution of entire graphs
• A cubic form differential inequality with applications to affine Kähler-Ricci flat manifolds
• Interior estimates and longtime solutions for mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space
• A gap theorem for self-shrinkers of the mean curvature flow in arbitrary codimension
• A Bernstein type theorem for self-similar shrinkers
• The rigidity theorems for Lagrangian self-shrinkers
• Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
• A rigidity theorem for an affine Kähler-Ricci flat graph
• Rigidity of entire self-shrinking solutions to curvature flows

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