Sharp local isoperimetric inequalities involving the scalar curvature
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Abstract:
We provide sharp local isoperimetric inequalities on Riemannian manifolds involving the scalar curvature, and thus answer a question asked by Johnson and Morgan.References
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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