Invariant Matsumoto metrics on homogeneous spaces
Differential Geometry
2015-07-09 v1 Mathematical Physics
math.MP
Abstract
In this paper we consider invariant Matsumoto metrics which are induced by invariant Riemannian metrics and invariant vector fields on homogeneous spaces then we give the flag curvature formula of them. Also we study the special cases of naturally reductive spaces and bi-invariant metrics. We end the article by giving some examples of geodesically complete Matsumoto spaces.
Keywords
Cite
@article{arxiv.1305.2861,
title = {Invariant Matsumoto metrics on homogeneous spaces},
author = {H. R. Salimi Moghaddam},
journal= {arXiv preprint arXiv:1305.2861},
year = {2015}
}