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A Relation between Mean Curvature Flow Solitons and Minimal Submanifolds

Mathematische Nachrichten, 2001
Summary: We derive a one to one correspondence between conformal solitons of the mean curvature flow in an ambient space \(N\) and minimal submanifolds in a different ambient space \(\widetilde{N}\) where \(\widetilde{N}\) equals \(\mathbb{R}\times N\) equipped with a warped product metric and show that a submanifold in \(N\) converges to a conformal ...
openaire   +2 more sources

Self-shrinkers and Translating Solitons Related to the Anisotropic Mean Curvature Flow

Potential Analysis
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Velásquez, Marco A. L.   +2 more
openaire   +1 more source

Boundary regularity for mean curvature flows of higher codimension

Science China Mathematics
Jürgen Jost, Qi Ding
exaly  

Curvature-Driven Flows: A Variational Approach

SIAM Journal on Control and Optimization, 1993
Lihe Wang, Jean E Taylor
exaly  

Total bending of flows with mean curvature correction

Differential Geometry and Its Applications, 2000
exaly  

Minimizing movements for anisotropic and inhomogeneous mean curvature flows

Advances in Calculus of Variations
Massimiliano Morini   +2 more
exaly  

On symplectic mean curvature flows

Frontiers of Mathematics in China, 2007
exaly  

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