Generalized Contact Bundles
Differential Geometry
2016-03-10 v4 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
In this Note, we propose a line bundle approach to odd-dimensional analogues of generalized complex structures. This new approach has three main advantages: (1) it encompasses all existing ones; (2) it elucidates the geometric meaning of the integrability condition for generalized contact structures; (3) in light of new results on multiplicative forms and Spencer operators, it allows a simple interpretation of the defining equations of a generalized contact structure in terms of Lie algebroids and Lie groupoids.
Keywords
Cite
@article{arxiv.1507.03973,
title = {Generalized Contact Bundles},
author = {Luca Vitagliano and Aïssa Wade},
journal= {arXiv preprint arXiv:1507.03973},
year = {2016}
}
Comments
Short Note: 8 pages. Minor revisions. Published in C. R. Math. Comments welcome!