Structure Theorem for Riemannian surfaces with arbitrary curvature

2008/05/31 by Ana Portilla, José M. Rodrı́guez, Portilla, Ana +3 · 1 citation
Computer Science · Engineering · Mathematics · #3D Shape Modeling and Analysis #41A10 #46E35 #46G10 #Differential Geometry (math.DG) #Digital Image Processing Techniques #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.0806.0090

openalex publication_date 2008/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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