Projectively Flat Singular Square Metrics with Constant Flag Curvature

被引：0

作者：

Guang Zu CHEN ^{[1
]}

Xin Yue CHENG ^{[2
]}

机构：

[1] School of Science, East China Jiao Tong University

[2] School of Mathematical Sciences, Chongqing Normal

来源：

Acta Mathematica Sinica | 2020年 / 36卷 / 06期

关键词：

D O I：

暂无

中图分类号：

O186.12 [黎曼几何]; O189.11 [拓扑空间（空间拓扑）];

学科分类号：

070104 ;

摘要：

In this paper, we study and characterize locally projectively flat singular square metrics with constant flag curvature. First, we obtain the sufficient and necessary conditions that singular square metrics are locally pro jectively flat. Furthermore, we classify locally pro jectively flat singular square metrics with constant flag curvature completely.

引用

页码：638 / 650

页数：13

共 50 条

[31] On Square metrics of scalar flag curvature
Zhongmin Shen
Guojun Yang
Israel Journal of Mathematics, 2018, 224 : 159 - 188
[32] On a class of singular Douglas and projectively flat Finsler metrics
Yang, Guojun
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2014, 32 : 113 - 129
[33] Matsumoto Metrics of Constant Flag Curvature: A Puny Class of Finsler Metrics with Constant Curvature
M. Rafie-Rad
B. Rezaei
Results in Mathematics, 2013, 63 : 475 - 483
[34] Matsumoto Metrics of Constant Flag Curvature: A Puny Class of Finsler Metrics with Constant Curvature
Rafie-Rad, M.
Rezaei, B.
RESULTS IN MATHEMATICS, 2013, 63 (1-2) : 475 - 483
[35] On Riemann curvature of singular square metrics
Yu, Changtao
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2020, 68
[36] Finsler metrics with constant (or scalar) flag curvature
Xiao-huan Mo
Applied Mathematics-A Journal of Chinese Universities, 2012, 27 : 1 - 8
[37] A characterization of Finsler metrics of constant flag curvature
B. Najafi
Indian Journal of Pure and Applied Mathematics, 2012, 43 : 559 - 567
[38] Finsler metrics with constant (or scalar) flag curvature
XIAOHUAN MO
Proceedings - Mathematical Sciences, 2012, 122 : 411 - 427
[39] Finsler metrics with constant (or scalar) flag curvature
Mo, Xiaohuan
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2012, 122 (03): : 411 - 427
[40] Finsler metrics with constant (or scalar) flag curvature
MO Xiao-huan Key Laboratory of Pure and Applied Mathematics
Applied Mathematics:A Journal of Chinese Universities, 2012, (01) : 1 - 8

← 1 2 3 4 5 →