新疆师范大学学报（自然科学版）2025，Vol.44Issue(3)：51-61,11.
具有迷向贝瓦尔德曲率的扭积芬斯勒度量
Finsler Warped Product Metrics with Isotropic Berwald Curvature
摘要
Abstract
In this paper,the Finsler Warped product metric proposed by Marcal and SHEN Zhong-min in 2020 is studied.Let dt2 and α2 be Euclidean metrics on Riemannian manifolds R and Rn respectively.The warped product Finsler metric is a Finsler metric F=α√ϕ(z,ρ)endowed on the product manifold R×Rn,where z=dt/α,ρ=|(xˉ)|,ϕ is a suitable function on R2.It is proved that Finsler warped product metrics with isotropic Berwald curvature are Berwald metrics.The necessary conditions for the relatively isotropic Landsberg curvature of Finsler warped product metrics are given.关键词
芬斯勒度量/扭积/贝瓦尔德度量/迷向贝瓦尔德曲率/相对迷向Landsberg曲率Key words
Finsler metric/Warped product/Berwald metric/Isotropic Berwald curvature/Relatively isotropic Landsberg curvature分类
数学引用本文复制引用
韩江慧,何勇,郑逢雨,罗丽欣..具有迷向贝瓦尔德曲率的扭积芬斯勒度量[J].新疆师范大学学报（自然科学版）,2025,44(3):51-61,11.基金项目
国家自然科学基金项目(12261088 （）
11761069). （）
