In orbifolds, small isoperimetric regions are small balls
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Abstract:
In a compact orbifold, for a small prescribed volume, an isoperimetric region is close to a small metric ball; in a Euclidean orbifold, it is a small metric ball.References
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Additional Information
- Frank Morgan
- Affiliation: Department of Mathematics and Statistics, Williams College, Williamstown, Massachusetts 01267
- Email: Frank.Morgan@williams.edu
- Received by editor(s): March 19, 2008
- Published electronically: January 21, 2009
- Communicated by: Richard A. Wentworth
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 1997-2004
- MSC (2000): Primary 49Q20
- DOI: https://doi.org/10.1090/S0002-9939-09-09689-0
- MathSciNet review: 2480281