Colding Minicozzi entropy in hyperbolic space

Colding Minicozzi entropy in hyperbolic space

This note introduces a notion of entropy for submanifolds of hyperbolic space analogous to the one introduced by Colding and Minicozzi for submanifolds of Euclidean space. Several properties are proved for this quantity including monotonicity along mean curvature flow in low dimensions and a connect...

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Veröffentlicht in:Nonlinear analysis 2021-09, Vol.210, p.112401, Article 112401
1. Verfasser: Bernstein, Jacob
Format: Artikel
Sprache:eng
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Zusammenfassung:This note introduces a notion of entropy for submanifolds of hyperbolic space analogous to the one introduced by Colding and Minicozzi for submanifolds of Euclidean space. Several properties are proved for this quantity including monotonicity along mean curvature flow in low dimensions and a connection with the conformal volume.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2021.112401