Hypercomplex structures on Courant algebroids |
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| Authors: | Mathieu Stiénon |
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| Affiliation: | 1. Université Paris Diderot, Institut de mathématiques de Jussieu (UMR CNRS 7586), site Chevaleret, case 7012, 75205 Paris cedex 13, France;2. Pennsylvania State University, Department of Mathematics, 109, McAllister Building, University Park, PA 16802, United States |
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| Abstract: | Hypercomplex structures on Courant algebroids unify holomorphic symplectic structures and usual hypercomplex structures. In this Note, we prove the equivalence of two characterizations of hypercomplex structures on Courant algebroids, one in terms of Nijenhuis concomitants and the other in terms of (almost) torsionfree connections for which each of the three complex structures is parallel. To cite this article: M. Stiénon, C. R. Acad. Sci. Paris, Ser. I 347 (2009). |
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