Cyclic metric Lie groups
Differential Geometry
2014-07-22 v2
Abstract
Cyclic metric Lie groups are Lie groups equipped with a left-invariant metric which is in some way far from being biinvariant, in a sense made explicit in terms of Tricerri and Vanhecke's homogeneous structures. The semisimple and solvable cases are studied. We extend to the general case, Kowalski-Tricerri's and Bieszk's classifications of connected and simply-connected unimodular cyclic metric Lie groups for dimensions less than or equal to five.
Cite
@article{arxiv.1407.0523,
title = {Cyclic metric Lie groups},
author = {P. M. Gadea and Jose Carmelo Gonzalez-Davila and Jose Antonio Oubina},
journal= {arXiv preprint arXiv:1407.0523},
year = {2014}
}