Twistor forms on Riemannian products |
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| Authors: | Andrei Moroianu Uwe Semmelmann |
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| Institution: | 1. CMLS, École Polytechnique, UMR 7640 du CNRS, 91128 Palaiseau, France;2. Universität zu Köln, Mathematisches Institut, Weyertal 86–90 D–50931 Köln, Germany |
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| Abstract: | We study twistor forms on products of compact Riemannian manifolds and show that they are defined by Killing forms on the factors. The main result of this note is a necessary step in the classification of compact Riemannian manifolds with non-generic holonomy carrying twistor forms. |
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| Keywords: | primary 53C29 58J50 |
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