Conformal Vector Fields on Finsler Warped Product Manifolds  

作　　者：Xiao Ling ZHANG Ya Lu FENG 

机构地区：[1]College of Mathematics and Systems Science,Xinjiang University,Urumqi 830046,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2023年第8期1624-1634,共11页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant Nos.11961061,11461064,11761069);Natural Science Foundation of Xinjiang Uygur Autonomous Region,China(Grant No.2015211C277)。

摘　　要：In this paper,we study the conformal vector fields on Finsler warped product manifolds.We obtain a system of equivalent equations that the conformal vector fields on Finsler warped product manifolds satisfy and completely characterize conformal vector fields on such manifolds.Further,by solving the equation,we give the classification.And we also give some examples.

关 键 词：Finsler warped product manifold conformal vector field homothetic vector field Killing vector field 

分 类 号：O186.1[理学—数学]