Total curvature of noncompact piecewise Riemannian 2-polyhedra (Q820180)
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scientific article; zbMATH DE number 5017535
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Total curvature of noncompact piecewise Riemannian 2-polyhedra |
scientific article; zbMATH DE number 5017535 |
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Total curvature of noncompact piecewise Riemannian 2-polyhedra (English)
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6 April 2006
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In this paper the authors investigate some properties of noncompact piecewise Riemannian 2-polyhedra which are combinatorial infinite 2-polyhedra such that each 2-simplex is isometric to the face of a triangle consisting of three smooth curves on some Riemannian 2-manifold and obtain some generalizations of the Gauss-Bonnet theorem and the Cohn-Vossen theorem.
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Euler characteristic
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total curvature
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