Ricci-quadratic homogeneous Randers spaces
Differential Geometry
2012-07-10 v1
Abstract
A Finsler space is called Ricci-quadratic if its Ricci curvature is quadratic in . It is called a Berwald space if its Chern connection defines a linear connection directly on the underlying manifold . In this article, we prove that a homogeneous Randers space is Ricci-quadratic if and only if it is of Berwald type.
Keywords
Cite
@article{arxiv.1207.1786,
title = {Ricci-quadratic homogeneous Randers spaces},
author = {Shaoqiang Deng and Zhiguang Hu},
journal= {arXiv preprint arXiv:1207.1786},
year = {2012}
}
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9pages