Geodesic Bases for Lie Algebras
Differential Geometry
2013-12-10 v1
Abstract
For finite dimensional real Lie algebras, we investigate the existence of an inner product having a basis comprised of geodesic elements. We give several existence and non-existence results in certain cases: unimodular solvable Lie algebras having an abelian nilradical, algebras having an abelian derived algebra, algebras having a codimension one ideal of a particular kind, nonunimodular algebras of dimension $\leq 4$, and unimodular algebras of dimension 5.
Cite
@article{arxiv.1312.2186,
title = {Geodesic Bases for Lie Algebras},
author = {Grant Cairns and Ana Hinić Galić and Yuri Nikolayevsky and Ioannis Tsartsaflis},
journal= {arXiv preprint arXiv:1312.2186},
year = {2013}
}
Comments
18 pages