Structure Theorem for Riemannian surfaces with arbitrary curvature

Ana Portilla; Jose M. Rodriguez; Eva Touris

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arXiv · 0806.0090

Structure Theorem for Riemannian surfaces with arbitrary curvature

Ana Portilla·Jose M. Rodriguez·Eva Touris

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Abstract

In this paper we prove that any Riemannian surface, with no restriction of curvature at all, can be decomposed into blocks belonging just to some of these types: generalized Y-pieces, generalized funnels and halfplanes.

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Ana Portilla, Jose M. Rodriguez, Eva Touris. 2008-05-31. Structure Theorem for Riemannian surfaces with arbitrary curvature. https://arxiv.org/abs/0806.0090

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