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http://hdl.handle.net/10553/45450
Title: | Matched pairs of Leibniz algebroids, Nambu-Jacobi structures and modular class | Authors: | Ibañez, Raúl Lopez, Belén Marrero, Juan C. Padron, Edith |
UNESCO Clasification: | 12 Matemáticas | Keywords: | Lie algebroids Lie algebroid Generalized complex |
Issue Date: | 2001 | Journal: | Comptes Rendus de l'Academie des Sciences - Series I: Mathematics | Abstract: | The notion of a matched pair of Leibniz algebroids is introduced and it is shown that a Nambu-Jacobi structure of order n, n > 2, over a manifold M defines a matched pair of Leibniz algebroids. As a consequence, one deduces that the vector bundle boolean AND (n-1) (T* M) + boolean AND (n-2) (T*M) --> M is a Leibniz algebroid. Finally, if M is orientable, the modular class of M is defined as a cohomology class of order 1 with respect to this Leibniz algebroid. | URI: | http://hdl.handle.net/10553/45450 | ISSN: | 0764-4442 | DOI: | 10.1016/S0764-4442(01)02150-4 | Source: | Comptes Rendus de l'Academie des Sciences - Series I: Mathematics [ISSN 0764-4442], v. 333 (9) p. 861-866 |
Appears in Collections: | Artículos |
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