Complete flat cone metrics on punctured surfaces

We prove that each complete flat cone metric on a surface with regular or irregular punctures can betriangulated 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.

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ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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