The Characterizations and Constructions of Sprays of Isotropic Curvature

被引：0

作者：

Cheng, Xin Yue ^{[1
]}

Cao, Ke Xiang ^{[1
]}

Qing, Chun Yan ^{[1
]}

机构：

[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2022年 / 38卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Spray; spray of isotropic curvature; chi-curvature; S-curvature; Funk metric; RICCI CURVATURE;

D O I：

10.1007/s10114-022-1120-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses the sprays of isotropic curvature. We first determine the relationship between chi-curvatures of two projectively related sprays. Based on this, we find an approach to construct sprays of isotropic curvature and find infinitely many sprays of isotropic curvature via some known sprays of isotropic curvature. In particular, by using famous Funk metric Theta, we can construct infinitely many sprays of isotropic curvature, some of which can be induced by Finsler metrics, but others cannot be induced by any Finsler metric.

引用

页码：1612 / 1620

页数：9

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