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A sharp quantitative isoperimetric inequality in hyperbolic n-space.

Authors :
Bögelein, Verena
Duzaar, Frank
Scheven, Christoph
Source :
Calculus of Variations & Partial Differential Equations. Dec2015, Vol. 54 Issue 4, p3967-4017. 51p.
Publication Year :
2015

Abstract

In this paper we prove a quantitative version of the classical isoperimetric inequality in the hyperbolic space $$\mathbb {H}^n$$ . The constant only depends on the dimension and an upper bound for the volume of the set. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09442669
Volume :
54
Issue :
4
Database :
Academic Search Index
Journal :
Calculus of Variations & Partial Differential Equations
Publication Type :
Academic Journal
Accession number :
111071251
Full Text :
https://doi.org/10.1007/s00526-015-0928-9