Kropina Metrics with Isotropic Scalar Curvature via Navigation Data

Author:

Ma Yongling1,Zhang Xiaoling1,Zhang Mengyuan1

Affiliation:

1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China

Abstract

Through an interesting physical perspective and a certain contraction of the Ricci curvature tensor in Finsler geometry, Akbar-Zadeh introduced the concept of scalar curvature for the Finsler metric. In this paper, we show that the Kropina metric is of isotropic scalar curvature if and only if F is an Einstein metric according to the navigation data. Moreover, we obtain the three-dimensional rigidity theorem for an Einstein–Kropina metric.

Funder

National Natural Science Foundation of China

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference21 articles.

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