Dirac structures and paracomplex manifolds |
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Authors: | Aïssa Wade |
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Institution: | Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA |
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Abstract: | We introduce the notion of a generalized paracomplex structure. This is a natural notion which unifies several geometric structures such as symplectic forms, paracomplex structures, and Poisson structures. We show that generalized paracomplex structures are in one-to-one correspondence with pairs of transversal Dirac structures on a smooth manifold. To cite this article: A. Wade, C. R. Acad. Sci. Paris, Ser. I 338 (2004). |
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