ON THE SCALAR CURVATURE OF KROPINA METRICS I

被引：0
|
作者：
Zhu, Hongmei [1 ]
Song, Lumin [1 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
来源：
HOUSTON JOURNAL OF MATHEMATICS | 2023年 / 49卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Finsler metric; weakly isotropic scalar curvature; Kropina metric; Yamabe problem;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the scalar curvature defined by H. Akbar-Zadeh in Finsler geometry. We prove that a Kropina metric is of weakly isotropic scalar curvature if and only if it is an Einstein metric. Further, we give a negative answer to Yamabe problem on Kropina metrics with isotropic S -curvature.
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页码：579 / 602
页数：24
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