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

Access to Document

10.1023/A:1007634407701

Cite this

@article{27fffea2972a45429db7c5a177680fc3,

title = "Conformal Dirac structures",

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.",

author = "A{\"i}ssa Wade",

year = "2000",

month = sep,

doi = "10.1023/A:1007634407701",

language = "English (US)",

volume = "53",

pages = "331--348",

journal = "Letters in Mathematical Physics",

issn = "0377-9017",

publisher = "Springer Netherlands",

number = "4",

}

TY - JOUR

T1 - Conformal Dirac structures

AU - Wade, Aïssa

PY - 2000/9

Y1 - 2000/9

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0040519937

UR - https://www.scopus.com/inward/citedby.url?scp=0040519937&partnerID=8YFLogxK

U2 - 10.1023/A:1007634407701

DO - 10.1023/A:1007634407701

M3 - Article

AN - SCOPUS:0040519937

SN - 0377-9017

VL - 53

SP - 331

EP - 348

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 4

ER -

Conformal Dirac structures

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this