The Round Sphere Minimizes Entropy among Closed Self-Shrinkers
The entropy of a hypersurface is a geometric invariant that measures complexity and is invariant under rigid motions and dilations. It is given by the supremum over all Gaussian integrals with varying centers and scales. It is monotone under mean curvature flow, thus giving a Lyapunov functional. Th...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
International Press of Boston, Inc.
2015
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| Online Access: | http://hdl.handle.net/1721.1/93156 https://orcid.org/0000-0001-6208-384X https://orcid.org/0000-0003-4211-6354 |