AFFINE FUNCTIONS AND BUSEMANN FUNCTIONS ON COMPLETE FINSLER MANIFOLDS

被引：2
|
作者：
Innami, Nobuhiro [1 ]
Itokawa, Yoe [2 ]
Nagano, Tetsuya [3 ]
Shiohama, Katsuhiro [4 ]
机构：
[1] Niigata Univ, Fac Sci, Dept Math, Niigata 9502181, Japan
[2] Fukuoka Inst Technol, Dept Commun & Informat Sci, Fukuoka 8110295, Japan
[3] Univ Nagasaki, Dept Informat Sci, Nagasaki, Japan
[4] Fukuoka Inst Technol, Inst Informat Sci, Fukuoka 8110295, Japan
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 04期
关键词：
Finsler manifold; affine functions; Minkowski space; parallels; NON-COMPACT MANIFOLDS; CONVEX-FUNCTIONS;
D O I：
10.1090/proc/15304
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We clarify the relation between an affine function and a Busemann function in a geodesically complete Finsler manifold. As an application, we give the characterization of a Minkowski space by means of the dimension of the vector space consisting of all affine functions on a Finsler manifold.
引用
收藏
页码：1723 / 1732
页数：10
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