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arXiv · 1402.5038

Riemannian Geometry on Contact Lie Groups

Andre Diatta
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Abstract

We investigate contact Lie groups having a left invariant Riemannian or pseudo-Riemannian metric with specific properties such as being bi-invariant, flat, negatively curved, Einstein, etc. We classify some of such contact Lie groups and derive some obstruction results to the existence of left invariant contact structures on Lie groups

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Andre Diatta. 2014-02-20. Riemannian Geometry on Contact Lie Groups. https://doi.org/10.1007/s10711-008-9236-2

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