K-contact Lie groups of dimension five or greater
Differential Geometry
2010-06-09 v1 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1006.1531,
title = {K-contact Lie groups of dimension five or greater},
author = {Brendan Foreman},
journal= {arXiv preprint arXiv:1006.1531},
year = {2010}
}