A partial classification of type I singularities of the mean curvature flow in high codimension
Charles M. Baker
Abstract
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Charles M. Baker
Abstract
Open-access reader
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.
Key concepts: Codimension, Gravitational singularity, Mean curvature flow, Type (biology), Mathematics, Curvature, Flow (mathematics), Pure mathematics