RANDERS SPACES WITH SCALAR FLAG CURVATURE*

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RANDERS SPACES WITH SCALAR FLAG CURVATURE^*

RANDERS SPACES WITH SCALAR FLAG CURVATURE^*

RANDERS SPACES WITH SCALAR FLAG CURVATURE^*

RANDERS SPACES WITH SCALAR FLAG CURVATURE^*

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doi:10.1007/s10473-023-0302-5

数学物理学报(英文版) ›› 2023, Vol. 43 ›› Issue (3): 994-1006.doi: 10.1007/s10473-023-0302-5

Jintang LI

School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

收稿日期:2022-01-07 修回日期:2022-05-05 出版日期:2023-06-25 发布日期:2023-06-06
作者简介:Jintang LI, E-mail: dli66@xmu.edu.cn
基金资助:
National Natural Science Foundation of China (11871405).

Jintang LI

School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

Received:2022-01-07 Revised:2022-05-05 Online:2023-06-25 Published:2023-06-06
About author:Jintang LI, E-mail: dli66@xmu.edu.cn
Supported by:
National Natural Science Foundation of China (11871405).

摘要： 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.

关键词: Randers spaces, flag curvature, sectional curvature, weak Einstein manifold

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.

Key words: Randers spaces, flag curvature, sectional curvature, weak Einstein manifold

Jintang LI. RANDERS SPACES WITH SCALAR FLAG CURVATURE^*[J]. 数学物理学报(英文版), 2023, 43(3): 994-1006.

Jintang LI. RANDERS SPACES WITH SCALAR FLAG CURVATURE^*[J]. Acta mathematica scientia,Series B, 2023, 43(3): 994-1006.

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