Riemannian Geometry on Contact Lie Groups

Published 20 Feb 2014 in math.DG | (1402.5038v1)

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

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