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Entropy Bounds for Self-Shrinkers with Symmetries.
- Source :
- Journal of Geometric Analysis; Feb2024, Vol. 34 Issue 2, p1-15, 15p
- Publication Year :
- 2024
-
Abstract
- In this work we derive explicit entropy bounds for two classes of closed self-shrinkers: the class of embedded closed self-shrinkers recently constructed in Riedler (in J Geom Anal 33(6):Paper No. 172, 2023) using isoparametric foliations of spheres, and the class of compact non-spherical immersed rotationally symmetric self-shrinkers. These bounds generalize the entropy bounds found in Ma, Muhammad, Møller (in J Reine Angew Math 793:239—259, 2022) on the space of complete embedded rotationally symmetric self-shrinkers. [ABSTRACT FROM AUTHOR]
- Subjects :
- ENTROPY
SYMMETRY
SPHERES
MATHEMATICS
FOLIATIONS (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 10506926
- Volume :
- 34
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of Geometric Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 174064121
- Full Text :
- https://doi.org/10.1007/s12220-023-01482-9