Conformal Dirac Structures |
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Authors: | Aïssa Wade |
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Affiliation: | (1) Mathematics Department, University of North Carolina, C.B. #3250, Chapel Hill, NC, 27599-3250, U.S.A. |
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Abstract: | The Courant bracket defined originally on the sections of a vector bundle TMT*MM is extended to the direct sum of the 1-jet vector bundle and its dual. The extended bracket allows one to interpret many structures encountered in differential geometry, in terms of Dirac structures. We give here a new approach to conformal Jacobi structures. |
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Keywords: | Courant bracket Dirac structure Poisson algebra Jacobi manifold Lie algebroid |
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