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.

引用

页码：579 / 602

页数：24

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