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January 1, 1943Transactions of the American Mathematical Society187 citations

The Gauss-Bonnet theorem for Riemannian polyhedra

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CACarl B. AllendoerferAWAndré Weil

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Abstract

Dual angles in affine space.104 3. Dual angles in Euclidean space.109 4. Convex cells and their tubes.110 5. Curved cells and their tubes.112 6. Gauss-Bonnet formula for imbedded cells.116 7. Gauss-Bonnet formula for Riemannian polyhedra.

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Allendoerfer et al. (1943) studied this question.

synapsesocial.com/papers/6a8878374a20e1705414da6bhttps://doi.org/10.1090/s0002-9947-1943-0007627-9
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