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A class of weighted isoperimetric inequalities in hyperbolic space.
- Source :
-
Proceedings of the American Mathematical Society . May2023, Vol. 151 Issue 5, p2155-2168. 14p. - Publication Year :
- 2023
-
Abstract
- In this paper, we prove a class of weighted isoperimetric inequalities for bounded domains in hyperbolic space by using the isoperimetric inequality with log-convex density in Euclidean space. As a consequence, we remove the horo-convex assumption of domains in a weighted isoperimetric inequality proved by Scheuer-Xia [Trans. Amer. Math. Soc. 372 (2019), pp. 6771–6803]. Furthermore, we prove weighted isoperimetric inequalities for star-shaped domains in warped product manifolds. Particularly, we obtain a weighted isoperimetric inequality for star-shaped hypersurfaces lying outside a certain radial coordinate slice in the anti-de Sitter-Schwarzschild manifold. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ISOPERIMETRIC inequalities
*HYPERBOLIC spaces
*HYPERSURFACES
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 151
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 162264413
- Full Text :
- https://doi.org/10.1090/proc/16219