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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

In orbifolds, small isoperimetric regions are small balls


Author: Frank Morgan
Journal: Proc. Amer. Math. Soc. 137 (2009), 1997-2004
MSC (2000): Primary 49Q20
Published electronically: January 21, 2009
MathSciNet review: 2480281
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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.


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Additional Information

Frank Morgan
Affiliation: Department of Mathematics and Statistics, Williams College, Williamstown, Massachusetts 01267
Email: Frank.Morgan@williams.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-09-09689-0
PII: S 0002-9939(09)09689-0
Keywords: Isoperimetric, perimeter minimizing, orbifold
Received by editor(s): March 19, 2008
Published electronically: January 21, 2009
Communicated by: Richard A. Wentworth
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.