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math.DG2002
Jacobi structures on affine bundles
J. Grabowski, D. Iglesias, J. C. Marrero +2
We study affine Jacobi structures on an affine bundle , i.e. Jacobi brackets that close on affine functions. We prove that there is a one-to-one correspondence between af…
math.DG2002
Jacobi groupoids and generalized Lie bialgebroids
D. Iglesias, J. C. Marrero
Jacobi groupoids are introduced as a generalization of Poisson and contact groupoids and it is proved that generalized Lie bialgebroids are the infinitesimal invariants of Jacobi g…
math.DG2001
Generalized Lie bialgebras and Jacobi structures on Lie groups
D. Iglesias, J. C. Marrero
We study generalized Lie bialgebroids over a single point, that is, generalized Lie bialgebras. Lie bialgebras are examples of generalized Lie bialgebras. Moreover, we prove that t…