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Cheeger's constant in balls and isoperimetric inequality on Riemannian manifolds
Author(s):
Joel
García León
Journal:
Proc. Amer. Math. Soc.
136
(2008),
4445-4452.
MSC (2000):
Primary 58Cxx
Posted:
July 15, 2008
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Abstract:
We prove isoperimetric inequality on a Riemannian manifold, assuming that the Cheeger constant for balls satisfies a certain estimation.
References:
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Additional Information:
Joel
García León
Affiliation:
Department of Mathematics, Imperial College, London, SW7 2BZ, United Kingdom
Address at time of publication:
Departamento de Matemáticas, Facultad de Ciencias, UNAM, México, D. F., México
Email:
jgarcia@servidor.unam.mx
DOI:
10.1090/S0002-9939-08-08824-2
PII:
S 0002-9939(08)08824-2
Keywords:
Differential geometry,
mathematical analysis,
Cheeger's constant and isoperimetric inequality.
Received by editor(s):
August 3, 2005,
Received by editor(s) in revised form:
October 20, 2005
Posted:
July 15, 2008
Additional Notes:
The author was supported in part by CONACyT, México
Dedicated:
To Veronica, Emiliano and Camilo
Communicated by:
Richard A. Wentworth
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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