Riemannian Geometry on Contact Lie Groups

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

The last version appeared at Geom. Dedicata (2008) 133, 83-94. arXiv admin note: substantial text overlap with arXiv:math/0403555