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Total Curvature and the Isoperimetric Inequality in Cartan–Hadamard Manifolds.
- Source :
- Journal of Geometric Analysis; Feb2022, Vol. 32 Issue 2, p1-54, 54p
- Publication Year :
- 2022
-
Abstract
- We obtain an explicit formula for comparing total curvature of level sets of functions on Riemannian manifolds and develop some applications of this result to the isoperimetric problem in spaces of nonpositive curvature. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10506926
- Volume :
- 32
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of Geometric Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 154480218
- Full Text :
- https://doi.org/10.1007/s12220-021-00801-2