K-contact Lie groups of dimension five or greater

K-contact Lie groups of dimension five or greater

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 alge...

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Mathematics - Differential Geometry
Mathematics - Symplectic Geometry
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description 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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subjects Mathematics - Differential Geometry
Mathematics - Symplectic Geometry
title K-contact Lie groups of dimension five or greater
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