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Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces |
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| Authors: | Gil Solanes |
| Institution: | Institut für Geometrie und Topologie, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany |
| Abstract: | We give an integral-geometric proof of the Gauss-Bonnet theorem for hypersurfaces in constant curvature spaces. As a tool, we obtain variation formulas in integral geometry with interest in its own. |
| Keywords: | Integral geometry total curvature |
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