2011arXiv (Cornell University)Open access

A partial classification of type I singularities of the mean curvature flow in high codimension

Charles M. Baker

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Abstract

The purpose of this article is to examine the possible shapes of type I singularities that form in the mean curvature flow of submanifolds of arbitrary codimension, assuming that the initial submanifold satisfies a particular curvature pinching condition.

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The purpose of this article is to examine the possible shapes of type I singularities that form in the mean curvature flow of submanifolds of arbitrary codimension, assuming that the initial submanifold satisfies a particular curvature pinching condition.

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Available abstract

The purpose of this article is to examine the possible shapes of type I singularities that form in the mean curvature flow of submanifolds of arbitrary codimension, assuming that the initial submanifold satisfies a particular curvature pinching condition.

Key concepts: Codimension, Gravitational singularity, Mean curvature flow, Type (biology), Mathematics, Curvature, Flow (mathematics), Pure mathematics

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