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arXiv · 1207.1786

Ricci-quadratic homogeneous Randers spaces

Shaoqiang Deng·Zhiguang Hu
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Abstract

A Finsler space is called Ricci-quadratic if its Ricci curvature $Ric(x,y)$ is quadratic in $y$. It is called a Berwald space if its Chern connection defines a linear connection directly on the underlying manifold $M$. In this article, we prove that a homogeneous Randers space is Ricci-quadratic if and only if it is of Berwald type.

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Shaoqiang Deng, Zhiguang Hu. 2012-07-07. Ricci-quadratic homogeneous Randers spaces. https://arxiv.org/abs/1207.1786

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