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Conformal Dirac Structures
Authors:Aïssa Wade
Affiliation:(1) Mathematics Department, University of North Carolina, C.B. #3250, Chapel Hill, NC, 27599-3250, U.S.A.
Abstract:The Courant bracket defined originally on the sections of a vector bundle TMoplusT*MrarrM 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.
Keywords:Courant bracket  Dirac structure  Poisson algebra  Jacobi manifold  Lie algebroid
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