Randers Metrics of Berwald type on 4-dimensional hypercomplex Lie groups
Differential Geometry
2016-12-30 v1
Abstract
In the present paper we study Randers metics of Berwald type on simply connected 4-dimensional real Lie groups admitting invariant hypercomplex structure. On these spaces, the Randers metrics arising from invariant hyper-Hermitian metrics are considered. Then we give explicit formulas for computing flag curvature of these metrics. By this study we construct two 4-dimensional Berwald spaces, one of them has non-negative flag curvature and the other one has non-positive flag curvature.
Cite
@article{arxiv.1305.2854,
title = {Randers Metrics of Berwald type on 4-dimensional hypercomplex Lie groups},
author = {H. R. Salimi Moghaddam},
journal= {arXiv preprint arXiv:1305.2854},
year = {2016}
}