Conformal gradient fields on Finsler manifolds

被引：0

作者：

Joharinad, Parvaneh ^{[1
]}

机构：

[1] Inst Adv Studies Basic Sci, Prof Yousef Sobouti Blvd 444,POB 45195-1159, Zanjan, Iran

来源：

PERIODICA MATHEMATICA HUNGARICA | 2021年 / 82卷 / 01期

关键词：

Finsler manifolds; Conformal gradient fields; Warped product; VECTOR-FIELDS; SPACES;

D O I：

10.1007/s10998-020-00330-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, some basic structural conditions that are imposed on a Finsler manifold as a consequence of existence of a conformal gradient field are presented. Then, after reiterating the definition of warped product Finsler manifolds and the constituents of its related variational problem, the correlation between geodesics of this warped product structure and geodesics of its constructing Finsler manifolds is studied.

引用

页码：87 / 97

页数：11