The Isoperimetric Profile of a Noncompact Riemannian Manifold for Small Volumes

Details The Isoperimetric Profile of a Noncompact Riemannian Manifold for Small Volumes The Isoperimetric Profile of a Noncompact Riemannian Manifold for Small Volumes

2010-09-02

arxiv.org/abs/1009.0319v1

Mathematics

Differential Geometry

34 pages

Scientific paper

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.

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