Structures de Dirac et variétés paracomplexes

Aïssa Wade

doi:10.1016/j.crma.2004.03.031

Structures de Dirac et variétés paracomplexes

Translated title of the contribution: Dirac structures and paracomplex manifolds

Aïssa Wade

Mathematics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

We introduce the notion of a generalized paracomplex structure. This is a natural notion which unifies several geometric structures such as symplectic forms, paracomplex structures, and Poisson structures. We show that generalized paracomplex structures are in one-to-one correspondence with pairs of transversal Dirac structures on a smooth manifold.

Translated title of the contribution	Dirac structures and paracomplex manifolds
Original language	French
Pages (from-to)	889-894
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	338
Issue number	11
DOIs	https://doi.org/10.1016/j.crma.2004.03.031
State	Published - Jun 1 2004

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.crma.2004.03.031

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abstract = "We introduce the notion of a generalized paracomplex structure. This is a natural notion which unifies several geometric structures such as symplectic forms, paracomplex structures, and Poisson structures. We show that generalized paracomplex structures are in one-to-one correspondence with pairs of transversal Dirac structures on a smooth manifold.",

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AB - We introduce the notion of a generalized paracomplex structure. This is a natural notion which unifies several geometric structures such as symplectic forms, paracomplex structures, and Poisson structures. We show that generalized paracomplex structures are in one-to-one correspondence with pairs of transversal Dirac structures on a smooth manifold.

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M3 - Article

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JO - Comptes Rendus Mathematique

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IS - 11

ER -

Structures de Dirac et variétés paracomplexes

Abstract

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