Gauss maps of translating solitons of mean curvature flow

DOI10.1090/S0002-9939-2014-12209-XzbMath1303.53087arXiv1301.4065OpenAlexW2964146561MaRDI QIDQ2930641

Chao Bao, Yuguang Shi

Publication date: 19 November 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.4065

zbMATH Keywords

Gauss maptranslating soliton

Mathematics Subject Classification ID

Related Items (16)

Rigidity of self-shrinkers and translating solitons of mean curvature flows ⋮ A Bernstein type theorem for ancient solutions to the mean curvature flow in arbitrary codimension ⋮ Recent rigidity results for graphs with prescribed mean curvature ⋮ Rigidity of symplectic translating solitons ⋮ Remarks on mean curvature flow solitons in warped products ⋮ Rigidity results for mean curvature flow graphical translators moving in non-graphical direction ⋮ A uniqueness theorem of complete Lagrangian translator in \(\mathbb C^2\) ⋮ Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights ⋮ A Bernstein type theorem of ancient solutions to the mean curvature flow ⋮ Singularities of mean curvature flow ⋮ On the rigidity theorems for entire Lagrangian translating solitons in pseudo-Euclidean space IV ⋮ Bernstein-type theorem of translating solitons in arbitrary codimension with flat normal bundle ⋮ Translating solitons of the mean curvature flow ⋮ Classification theorems of complete space-like Lagrangian \(\xi\)-surfaces in the pseudo-Euclidean space \(\mathbb{R}^4_2\) ⋮ Rigidity of complete spacelike translating solitons in pseudo-Euclidean space ⋮ A Bernstein type result of translating solitons

Cites Work

• The rigidity theorems of self shrinkers via Gauss maps
• The regularity of harmonic maps into spheres and applications to Bernstein problems
• Function theory on manifolds which possess a pole
• Liouville theorems for self-similar solutions of heat flows
• Gauss maps of the mean curvature flow
• Convexity estimates for mean curvature flow and singularities of mean convex surfaces
• Harnack estimate for the mean curvature flow
• Mean curvature flow with convex Gauss image
• On Harnack's theorem for elliptic differential equations
• On the Liouville Theorem for Harmonic Maps

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