Generalized existence of isoperimetric regions in non-compact Riemannian manifolds and applications to the isoperimetric profile

Stefano Nardulli

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arXiv · 1210.1328

Generalized existence of isoperimetric regions in non-compact Riemannian manifolds and applications to the isoperimetric profile

Stefano Nardulli

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Abstract

For a complete noncompact connected Riemannian manifold with bounded geometry, we prove the existence of isoperimetric regions in a larger space obtained by adding finitely many limit manifolds at infinity. As one of many possible applications, we extend properties of the isoperimetric profile from compact manifolds to such noncompact manifolds.

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BibTeX RIS

Stefano Nardulli. 2012-10-04. Generalized existence of isoperimetric regions in non-compact Riemannian manifolds and applications to the isoperimetric profile. https://arxiv.org/abs/1210.1328

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