RANDERS SPACES WITH SCALAR FLAG CURVATURE*

  • Jintang LI
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  • School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
Jintang LI, E-mail: dli66@xmu.edu.cn

Received date: 2022-01-07

  Revised date: 2022-05-05

  Online published: 2023-06-06

Supported by

National Natural Science Foundation of China (11871405).

Abstract

Let $(M, F)$ be an $n$-dimensional Randers space with scalar flag curvature. In this paper, we will introduce the definition of a weak Einstein manifold. We can prove that if $(M, F)$ is a weak Einstein manifold, then the flag curvature is constant.

Cite this article

Jintang LI . RANDERS SPACES WITH SCALAR FLAG CURVATURE*[J]. Acta mathematica scientia, Series B, 2023 , 43(3) : 994 -1006 . DOI: 10.1007/s10473-023-0302-5

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