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arxiv: 0806.0090 · v1 · submitted 2008-05-31 · 🧮 math.DG · math.MG

Structure Theorem for Riemannian surfaces with arbitrary curvature

classification 🧮 math.DG math.MG
keywords curvaturegeneralizedriemannianarbitrarybelongingblocksdecomposedfunnels
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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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