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arXiv:1009.0319 [math.DG]AbstractReferencesReviewsResources

The Isoperimetric Profile of a Noncompact Riemannian Manifold for Small Volumes

Stefano Nardulli

Published 2010-09-02, updated 2012-10-02Version 2

In the main theorem of this paper we treat the problem of existence of minimizers of the isoperimetric problem under the assumption of small volumes. Applications of the main theorem to asymptotic expansions of the isoperimetric problem are given.

Comments: 33 pages, improved version after the referee comments, (Submitted)
Categories: math.DG
Subjects: 53C21, 58J60, 58-99, 28-99, 49-99
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