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arxiv: 1009.0319 · v2 · pith:7EMBCGCSnew · submitted 2010-09-02 · 🧮 math.DG

The Isoperimetric Profile of a Noncompact Riemannian Manifold for Small Volumes

classification 🧮 math.DG
keywords isoperimetricproblemmainsmalltheoremvolumesapplicationsassumption
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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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