Projectively Flat Singular Square Metrics with Constant Flag Curvature

被引：0
|
作者：
Guang Zu Chen
Xin Yue Cheng
机构：
[1] East China JiaoTong University,School of Science
[2] Chongqing Normal University,School of Mathematical Sciences
来源：
Acta Mathematica Sinica, English Series | 2020年 / 36卷
关键词：
Singular square metric; projectively flat metric; flag curvature; 53B40; 53C60;
D O I：
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学科分类号：
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 projectively flat. Furthermore, we classify locally projectively flat singular square metrics with constant flag curvature completely.
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页码：638 / 650
页数：12
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