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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Cheeger’s constant in balls and isoperimetric inequality on Riemannian manifolds
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by Joel García León PDF
Proc. Amer. Math. Soc. 136 (2008), 4445-4452 Request permission

Abstract:

We prove isoperimetric inequality on a Riemannian manifold, assuming that the Cheeger constant for balls satisfies a certain estimation.
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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
  • Received by editor(s): August 3, 2005
  • Received by editor(s) in revised form: October 20, 2005
  • Published electronically: 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 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 4445-4452
  • MSC (2000): Primary 58Cxx
  • DOI: https://doi.org/10.1090/S0002-9939-08-08824-2
  • MathSciNet review: 2431061