On Riemann curvature of singular square metrics

Changtao Yu

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arXiv · 1807.08224

On Riemann curvature of singular square metrics

Changtao Yu

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Abstract

Square metrics is an important class of Finsler metrics. Recently, we introduced a special class of non-regular Finsler metrics called singular square metrics. The main purpose of this paper is to provide a necessary and sufficient condition for singular square metrics to be of constant Ricci or flag curvature when dimension $n\geq3$.

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Changtao Yu. 2018-07-22. On Riemann curvature of singular square metrics. https://arxiv.org/abs/1807.08224

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