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January 1, 1943Transactions of the American Mathematical Society60 citationsOpen Access

The Gauss-Bonnet Theorem for Riemannian Polyhedra

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/6a028cd7a7089d64356509efhttps://doi.org/10.2307/1990134
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