Riemannian Geometry on Contact Lie Groups
Differential Geometry
2014-02-21 v1
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
Cite
@article{arxiv.1402.5038,
title = {Riemannian Geometry on Contact Lie Groups},
author = {Andre Diatta},
journal= {arXiv preprint arXiv:1402.5038},
year = {2014}
}
Comments
The last version appeared at Geom. Dedicata (2008) 133, 83-94. arXiv admin note: substantial text overlap with arXiv:math/0403555