Let M Ì Rm+1 be a smooth, closed, codimension-one self-shrinker (for mean curvature flow) with nontrivial kth homology. We show that the entropy of M is greater than or equal to the entropy of a round k -sphere, and that if equality holds, then M is a round k-sphere in Rk+1.
Bibliographical noteFunding Information:
Hershkovits was partially supported by an AMS–Simons travel grant. partially supported by NSF grants DMS-1404282 and DMS-1711293.
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