Affine vector fields on Finsler manifolds

被引：0

作者：

Libing Huang

Qiong Xue

机构：

[1] Nankai University,School of Mathematical Sciences and LPMC

[2] Wuhan University of Technology,School of Science

来源：

manuscripta mathematica | 2020年 / 161卷

关键词：

53C60; 53A15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give characterizations of affine transformations and affine vector fields in terms of the spray. By utilizing the Jacobi type equation that characterizes affine vector fields, we prove some rigidity theorems of affine vector fields on compact or forward complete non-compact Finsler manifolds with non-positive total Ricci curvature.

引用

页码：293 / 302

页数：9

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