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Relative entropy of hypersurfaces in hyperbolic space.
- Source :
-
Journal für die Reine und Angewandte Mathematik . Jul2023, Vol. 2023 Issue 800, p193-216. 24p. - Publication Year :
- 2023
-
Abstract
- We study a notion of relative entropy for certain hypersurfaces in hyperbolic space. We relate this quantity to the renormalized area introduced by Graham–Witten. We also obtain a monotonicity formula for relative entropy applied to mean curvature flows in hyperbolic space. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HYPERSURFACES
*ENTROPY
*HYPERBOLIC spaces
*CURVATURE
Subjects
Details
- Language :
- English
- ISSN :
- 00754102
- Volume :
- 2023
- Issue :
- 800
- Database :
- Academic Search Index
- Journal :
- Journal für die Reine und Angewandte Mathematik
- Publication Type :
- Academic Journal
- Accession number :
- 164705907
- Full Text :
- https://doi.org/10.1515/crelle-2023-0035