On Matsumoto metrics of scale flag curvature

Xiaoling Zhang

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arXiv · 1311.5926

On Matsumoto metrics of scale flag curvature

Xiaoling Zhang

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Abstract

This paper contributes to the study of the Matsumoto metric F=alpha^2/beta, where the alpha is a Riemannian metric and the beta is a one form. It is shown that such a Matsumoto metric F is of scalar flag curvature if and only if F is projectively flat.

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Xiaoling Zhang. 2013-11-22. On Matsumoto metrics of scale flag curvature. https://arxiv.org/abs/1311.5926

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