Conformal Dirac Structures

Aïssa Wade

Conformal Dirac Structures

Symplectic Geometry 2016-08-16 v1 Differential Geometry

Authors: Aïssa Wade

Abstract

The Courant bracket defined originally on the sections of the vector bundle $TM \oplus T^*M \to M$ is extended to the direct sum of the 1-jet vector bundle and its dual. The extended bracket allows to interpret many structures encountered in differential geometry in terms of Dirac structures. We give here a new approach to conformal Jacobi structures.

Keywords

conformal geometry simplicial complexes vector bundles

Cite

@article{arxiv.math/0101181,
  title  = {Conformal Dirac Structures},
  author = {Aïssa Wade},
  journal= {arXiv preprint arXiv:math/0101181},
  year   = {2016}
}

Comments

23 pages, LateX

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