Vector fields in the presence of a contact structure
Differential Geometry
2007-05-23 v1
Abstract
We consider the Lie algebra of all vector fields on a contact manifold as a module over the Lie subalgebra of contact vector fields. This module is split into a direct sum of two submodules: the contact algebra itself and the space of tangent vector fields. We study the geometric nature of these two modules.
Cite
@article{arxiv.math/0511499,
title = {Vector fields in the presence of a contact structure},
author = {Valentin Ovsienko},
journal= {arXiv preprint arXiv:math/0511499},
year = {2007}
}
Comments
10 pages