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arXiv · 1511.00927

Matsumoto Metrics of Reversible Curvature

A. Tayebi·T. Tabatabaeifar
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Abstract

In this paper, we study the reversibility of Riemann curvature and Ricci curvature for the Matsumoto metric and prove three global results. First, we prove that a Matsumoto metric is R-reversible if and only if it is R-quadratic. Then we show that a Matsumoto metric is Ricci-reversible if and only if it is Ricci-quadratic. Finally, we prove that every weakly Einstein Matsumoto metric is Ricci-reversible.

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A. Tayebi, T. Tabatabaeifar. 2015-10-26. Matsumoto Metrics of Reversible Curvature. https://arxiv.org/abs/1511.00927

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