Volume-preserving flow by powers of the \(m\)th mean curvature (Q982177)
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| Language | Label | Description | Also known as |
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| English | Volume-preserving flow by powers of the \(m\)th mean curvature |
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Volume-preserving flow by powers of the \(m\)th mean curvature (English)
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6 July 2010
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The authors consider the evolution of a closed convex hypersurface under a volume preserving curvature flow. The speed is given by a power of the \(m\)-th mean curvature or of the Gauss curvature. They prove that, if the initial hypersurface satisfies a suitable pinching condition, then the solution exists for all times and converges to a round sphere.
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volume-preserving flow
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mean curvature
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closed convex hypersurface
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