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arXiv · 1006.1531

K-contact Lie groups of dimension five or greater

Brendan Foreman
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Abstract

We prove that a K-contact Lie group of dimension five or greater is the central extension of a symplectic Lie group by complexifying the Lie algebra and applying a result from complex contact geometry, namely, that, if the adjoint action of the complex Reeb vector field on a complex contact Lie algebra is diagonalizable, then it is trivial.

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Brendan Foreman. 2010-06-08. K-contact Lie groups of dimension five or greater. https://arxiv.org/abs/1006.1531

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