Complete Flat Cone Metrics on Punctured Surfaces

Published 6 Feb 2016 in math.MG | (1602.04240v3)

Abstract: We prove that each complete flat cone metric on a surface, perhaps with boundary and punctures, can be triangulated with finitely many types of triangles. We derive Gauss-Bonnet formula for this kind of cone metrics. In addition, we prove that each free homotopy class of paths has a geodesic representative.

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Authors (1)

İsmail Sağlam

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