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arXiv · 1903.09371

A class of Randers metrics of scalar flag curvature

Xinyue Cheng·Li Yin·Tingting Li
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Abstract

One of the most important problems in Finsler geometry is to classify Finsler metrics of scalar flag curvature. In this paper, we study the classification problem of Randers metrics of scalar flag curvature. Under the condition that $\beta$ is a Killing 1-form, we obtain some important necessary conditions for Randers metrics to be of scalar flag curvature.

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Xinyue Cheng, Li Yin, Tingting Li. 2019-03-22. A class of Randers metrics of scalar flag curvature. https://arxiv.org/abs/1903.09371

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