Structure Theorem for Riemannian surfaces with arbitrary curvature

Details Structure Theorem for Riemannian surfaces with arbitrary curvature Structure Theorem for Riemannian surfaces with arbitrary curvature

2008-05-31

arxiv.org/abs/0806.0090v1

Mathematics

Differential Geometry

15 pages, 1 latex file, 7 eps figures

Scientific paper

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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