Conformal Dirac structures

Aïssa Wade

doi:10.1023/A:1007634407701

Conformal Dirac structures

Aïssa Wade

Mathematics

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

41 Scopus citations

Abstract

The Courant bracket defined originally on the sections of a vector bundle TM ⊕ T* M → M 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.

Original language	English (US)
Pages (from-to)	331-348
Number of pages	18
Journal	Letters in Mathematical Physics
Volume	53
Issue number	4
DOIs	https://doi.org/10.1023/A:1007634407701
State	Published - Sep 2000

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1023/A:1007634407701

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AB - The Courant bracket defined originally on the sections of a vector bundle TM ⊕ T* M → M 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.

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Conformal Dirac structures

Abstract

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