典型文献
On Doubly Twisted Product of Complex Finsler Manifolds
文献摘要：
Let(M1,F1)and(M2,F2)be two strongly pseudoconvex complex Finsler manifolds.The doubly twisted product(abbreviated as DTP)complex Finsler man-ifold(M1×(λ1,λ2)M2,F)is the product manifold M1×M2 endowed with the twisted product complex Finsler metric F2=λ21F21+λ22F22,where λ1 and λ2 are positive smooth functions on Mi×M2.In this paper,the relationships between the geometric objects(e.g.complex Finsler connections,holomorphic and Ricci scalar curvatures,and real geodesic)of a DTP-complex Finsler manifold and its components are derived.The necessary and sufficient conditions under which the DTP-complex Finsler manifold is a K?hler Finsler(respctively weakly K?hler Finsler,complex Berwald,weakly complex Berwald,complex Landsberg)manifold are obtained.By means of these,we provide a possible way to construct a weakly complex Berwald manifold,and then give a char-acterization for a complex Landsberg metric that is not a Berwald metric.
文献关键词：
中图分类号：
作者姓名：
Wei Xiao;Yong He;Xiaoying Lu;Xiangxiang Deng
作者机构：
School of Mathematical Sciences,XinJiang Normal University,Urumqi 830017,China;Urumqi Campus of Army Academy of Border and Coastal Defence,Urumqi 830002,China
文献出处：
引用格式：
[1]Wei Xiao;Yong He;Xiaoying Lu;Xiangxiang Deng-.On Doubly Twisted Product of Complex Finsler Manifolds)[J].数学研究（英文）,2022(02):158-179
A类：
pseudoconvex,ifold,21F21+,22F22,respctively,Berwald,Landsberg
B类：
On,Doubly,Twisted,Product,Complex,Finsler,Manifolds,Let,M1,M2,two,strongly,complex,manifolds,doubly,twisted,product,abbreviated,as,DTP,endowed,where,are,positive,smooth,functions,Mi,In,this,paper,relationships,between,geometric,objects,connections,holomorphic,Ricci,scalar,curvatures,real,geodesic,its,components,derived,necessary,sufficient,conditions,under,which,hler,weakly,obtained,By,means,these,provide,possible,way,construct,then,give,char,acterization,that,not
AB值：
0.450661
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