Kropina Metrics with Isotropic Scalar Curvature

Liu, Liulin; Zhang, Xiaoling; Zhao, Lili

doi:10.3390/axioms12070611

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Article

21 June 2023

11 Pages

Kropina Metrics with Isotropic Scalar Curvature

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College of Mathematics and Systems Science, Xinjiang University, Urumqi 830017, China

School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China

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Axioms2023, 12(7), 611;https://doi.org/10.3390/axioms12070611

This article belongs to the Special Issue Advances in Differential Geometry and Singularity Theory

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Abstract

In this paper, we study Kropina metrics with isotropic scalar curvature. First, we obtain the expressions of Ricci curvature tensor and scalar curvature. Then, we characterize the Kropina metrics with isotropic scalar curvature on by tensor analysis.

Keywords:

Kropina metrics; Ricci curvature tensor; scalar curvature

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