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Turkish Journal of Mathematics

DOI

10.3906/mat-1806-23

Abstract

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

First Page

813

Last Page

832

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Mathematics Commons

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