Rigidity properties of Colding–Minicozzi entropies

Abstract

We show certain rigidity for minimizers of generalized Colding–Minicozzi entropies. The proofs are elementary and work even in situations where the generalized entropies are not monotone along mean curvature flow.

Keywords

• colding–minicozzi entropy
• mean curvature flow; rigidity
• 53a07
• 53a10