Matsumoto Metrics of Reversible Curvature
General Mathematics
2015-11-04 v1
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.
Keywords
Cite
@article{arxiv.1511.00927,
title = {Matsumoto Metrics of Reversible Curvature},
author = {A. Tayebi and T. Tabatabaeifar},
journal= {arXiv preprint arXiv:1511.00927},
year = {2015}
}
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37 pages