Vector fields in the presence of a contact structure

Valentin Ovsienko

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Vector fields in the presence of a contact structure

Valentin Ovsienko

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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.

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Valentin Ovsienko. 2005-11-20. Vector fields in the presence of a contact structure. https://arxiv.org/abs/math/0511499

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