Mean curvature flow of higher codimension in hyperbolic spaces (Q376092)
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scientific article; zbMATH DE number 6221968
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mean curvature flow of higher codimension in hyperbolic spaces |
scientific article; zbMATH DE number 6221968 |
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Mean curvature flow of higher codimension in hyperbolic spaces (English)
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1 November 2013
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In this paper, the authors study the mean curvature flow of a smooth closed submanifold in a complete simply connected hyperbolic space form. Assuming a pinching condition, they prove that the mean curvature flow converges to a round point in finite time. As an application, they provide a criterion for a closed submanifold to be diffeomorphic to a unit \(n\)-sphere.
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mean curvature flow
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convergence
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pinching condition
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