Vector fields in the presence of a contact structure

Details Vector fields in the presence of a contact structure Vector fields in the presence of a contact structure

2005-11-20

arxiv.org/abs/math/0511499v1

Mathematics

Differential Geometry

10 pages

Scientific paper

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.

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