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

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