The Characterizations and Constructions of Sprays of Isotropic Curvature  

作　　者：Xin Yue CHENG Ke Xiang CAO Chun Yan QING 

机构地区：[1]School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第9期1612-1620,共9页数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.11871126 and 12141101);Technology Research Foundation of Chongqing Educational committee(Grant No.KJQN201900530);Chongqing Normal University Science Research Fund(Grant No.17XLB022)。

摘　　要：This paper discusses the sprays of isotropic curvature.We first determine the relationship betweenχ-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 metricΘ,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.

关 键 词：SPRAY spray of isotropic curvature χ-curvature S-CURVATURE Funk metric 

分 类 号：O186.1[理学—数学]