Structure Theorem for Riemannian surfaces with arbitrary curvature
Differential Geometry
2008-06-03 v1 Metric Geometry
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.
Cite
@article{arxiv.0806.0090,
title = {Structure Theorem for Riemannian surfaces with arbitrary curvature},
author = {Ana Portilla and Jose M. Rodriguez and Eva Touris},
journal= {arXiv preprint arXiv:0806.0090},
year = {2008}
}
Comments
15 pages, 1 latex file, 7 eps figures