Bernstein-type theorem of translating solitons in arbitrary codimension with flat normal bundle

DOI10.1007/s00526-015-0826-1zbMath1328.53007OpenAlexW2031364850MaRDI QIDQ745547

Keita Kunikawa

Publication date: 14 October 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-015-0826-1

zbMATH Keywords

minimal submanifoldsimage of the Gauss map

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (10)

A Bernstein type theorem for ancient solutions to the mean curvature flow in arbitrary codimension ⋮ Rigidity of symplectic translating solitons ⋮ Rigidity results for mean curvature flow graphical translators moving in non-graphical direction ⋮ Bernstein type theorems of translating solitons of the mean curvature flow in higher codimension ⋮ Unnamed Item ⋮ 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 ⋮ Rigidity of complete spacelike translating solitons in pseudo-Euclidean space ⋮ A Bernstein type result of translating solitons

Cites Work

• Unnamed Item
• The rigidity theorems of self shrinkers via Gauss maps
• The Gauss image of entire graphs of higher codimension and Bernstein type theorems
• Translating solitons of mean curvature flow of noncompact submanifolds
• Convex solutions to the mean curvature flow
• Stability of translating solutions to mean curvature flow
• Asymptotic behavior for singularities of the mean curvature flow
• Convex functions on Grassmannian manifolds and Lawson-Osserman problem
• Properties of translating solutions to mean curvature flow
• Convexity estimates for mean curvature flow and singularities of mean convex surfaces
• Harnack estimate for the mean curvature flow
• Bernstein type theorems for higher codimension
• Mean curvature flow with convex Gauss image
• Bernstein type theorems with flat normal bundle
• Minimal varieties in Riemannian manifolds
• Bernstein type theorems without graphic condition
• The Geometry of Grassmannian manifolds and Bernstein type theorems for higher codimension
• Mean Curvature Flow in Higher Codimension: Introduction and Survey
• Gauss maps of translating solitons of mean curvature flow

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