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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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Sharp local isoperimetric inequalities involving the scalar curvature
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by Olivier Druet PDF
Proc. Amer. Math. Soc. 130 (2002), 2351-2361 Request permission

Abstract:

We provide sharp local isoperimetric inequalities on Riemannian manifolds involving the scalar curvature, and thus answer a question asked by Johnson and Morgan.
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Additional Information
  • Olivier Druet
  • Affiliation: Département de Mathématiques, Université de Cergy-Pontoise, Site de Saint-Martin, 2 avenue Adolphe Chauvin, 95302 Cergy-Pontoise cedex, France
  • Email: Olivier.Druet@math.u-cergy.fr
  • Received by editor(s): March 15, 2001
  • Published electronically: March 12, 2002
  • Communicated by: Jozef Dodziuk
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 2351-2361
  • MSC (2000): Primary 49J40, 53C21
  • DOI: https://doi.org/10.1090/S0002-9939-02-06355-4
  • MathSciNet review: 1897460