On infinitesimal Einstein deformations |
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| Affiliation: | 1. Universität Regensburg, Fakultät für Mathematik, Universitätsstraße 31, 93053 Regensburg, Germany;2. Universität Potsdam, Institut für Mathematik, Am Neuen Palais 10, 14469 Potsdam, Germany |
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| Abstract: | We study infinitesimal Einstein deformations on compact flat manifolds and on product manifolds. Moreover, we prove refinements of results by Koiso and Bourguignon which yield obstructions on the existence of infinitesimal Einstein deformations under certain curvature conditions. |
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