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典型文献
The Characterizations and Constructions of Sprays of Isotropic Curvature
文献摘要:
This paper discusses the sprays of isotropic curvature.We first determine the relationship between x-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 Θ,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.
文献关键词:
作者姓名:
Xin Yue CHENG;Ke Xiang CAO;Chun Yan QING
作者机构:
School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,P.R.China
引用格式:
[1]Xin Yue CHENG;Ke Xiang CAO;Chun Yan QING-.The Characterizations and Constructions of Sprays of Isotropic Curvature)[J].数学学报(英文版),2022(09):1612-1620
A类:
Sprays,sprays,projectively
B类:
Characterizations,Constructions,Isotropic,Curvature,This,paper,discusses,isotropic,We,first,determine,relationship,between,curvatures,two,related,Based,this,find,approach,construct,infinitely,many,via,some,known,In,particular,by,using,famous,Funk,which,induced,Finsler,metrics,but,others,cannot
AB值:
0.441759
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