The Space of Integrable Dirac Structures on Hilbert C*-Modules
Differential Geometry
2010-03-16 v2
Abstract
In this paper we interpret the integrability of the Dirac structures on some Hilbert C*-modules in terms of an automorphism group. This is the group of orthogonal transformations on the Hilbert C*-module of sections of a Hermitian vector bundle over an smooth manifold M. Some topological properties of the group of integrable Dirac structures are studied. In some special cases it is shown that the integrability condition corresponds to the solutions of a partial differential equation. This is explained as a necessary and sufficient condition.
Keywords
Cite
@article{arxiv.0908.0178,
title = {The Space of Integrable Dirac Structures on Hilbert C*-Modules},
author = {Vida Milani and Seyed M. H. Mansourbeigi and Hassan Arianpoor},
journal= {arXiv preprint arXiv:0908.0178},
year = {2010}
}
Comments
16 pages