On Matsumoto metrics of scale flag curvature

2013/11/22 by Xiaoling Zhang, Zhang, Xiaoling
Physics and Astronomy · Mathematics · Medicine · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Ophthalmology and Eye Disorders

paper · pdf · doi:10.48550/arxiv.1311.5926

Abstract

This paper contributes to the study of the Matsumoto metric F=alpha²/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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