K-contact Lie groups of dimension five or greater

Details K-contact Lie groups of dimension five or greater K-contact Lie groups of dimension five or greater

2010-06-08

arxiv.org/abs/1006.1531v1

Mathematics

Differential Geometry

Scientific paper

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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