1 citations · 1 across the 3 of their papers we have counts for
5 papers
Locally conformal symplectic groupoids
D. Iglesias-Ponte, J. C. Marrero
Locally conformal symplectic (l.c.s.) groupoids are introduced as a generalization of symplectic groupoids. We obtain some examples and we prove that l.c.s. groupoids are examples…
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…
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…
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…
Lichnerowicz-Jacobi cohomology and homology of Jacobi manifolds: modular class and duality
Manuel de Leon, Belen Lopez, Juan C. Marrero +1
Lichnerowicz-Jacobi cohomology and homology of Jacobi manifolds are reviewed. We present both in a unified approach using the representation of the Lie algebra of functions on itse…