RANDERS SPACES WITH SCALAR FLAG CURVATURE*

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

RANDERS SPACES WITH SCALAR FLAG CURVATURE^*

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).

RANDERS SPACES WITH SCALAR FLAG CURVATURE^*

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/Abstract

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.

[1]	陈光祖, 程新跃. ON (α, β)-METRICS OF CONSTANT FLAG CURVATURE[J]. 数学物理学报(英文版), 2022, 42(2): 755-768.
[2]	Nicoleta ALDEA, Gheorghe MUNTEANU. THE MAIN INVARIANTS OF A COMPLEX FINSLER SPACE[J]. 数学物理学报(英文版), 2014, 34(4): 995-1011.
[3]	傅小勇, 葛剑. ON A KÄHLER VERSION OF CHEEGER-GROMOLL-PERELMAN´S SOUL THEOREM[J]. 数学物理学报(英文版), 2014, 34(3): 713-718.
[4]	王雨生. FUNDAMENTAL GROUPS OF CLOSED POSITIVELY CURVED MANIFOLDS WITH ALMOST DISCRETE ABELIAN GROUP ACTIONS[J]. 数学物理学报(英文版), 2010, 30(1): 203-207.
[5]	Elif Özkara Canfes. ISOTROPIC WEYL MANIFOLD WITH A SEMI-SYMMETRIC CONNECTION[J]. 数学物理学报(英文版), 2009, 29(1): 176-180.
[6]	焦振华; 傅小勇. VOLUME GROWTH ESTIMATES OF MANIFOLDS WITH NONNEGATIVE CURVATURE OUTSIDE A COMPACT SET[J]. 数学物理学报(英文版), 2008, 28(1): 86-095.
[7]	程新跃; 沈忠民. PROJECTIVELY FLAT FINSLER METRICS WITH ALMOST ISOTROPIC S-CURVATURE[J]. 数学物理学报(英文版), 2006, 26(2): 307-313.
[8]	陈志华, 周朝晖. A VANISHING THEOREM ON L2 HARMONIC FORMS[J]. 数学物理学报(英文版), 2002, 22(3): 379-387.
[9]	程新跃, 杨文茂. ON THE INFINITESIMAL ISOMETRIC DEFORMATIONS OF SUBMANIFOLDS[J]. 数学物理学报(英文版), 1997, 17(4): 392-404.
[10]	陈广华, 徐森林. RIGIDITY OF COMPACT MINIMAL SUBMANIFOLDS IN A LOCALLY SYMMETRIC AND CONFORMALLY FLAT RIEMANN MANIFOLD[J]. 数学物理学报(英文版), 1996, 16(1): 89-96.

RANDERS SPACES WITH SCALAR FLAG CURVATURE^*

RANDERS SPACES WITH SCALAR FLAG CURVATURE^*

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