Affine functions and Busemann functions on complete Finsler manifolds-Reference-Cited by-同舟云学术

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Affine functions and Busemann functions on complete Finsler manifolds

Published:2021-02-11 Issue:4 Volume:149 Page:1723-1732
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Innami Nobuhiro,Itokawa Yoe,Nagano Tetsuya,Shiohama Katsuhiro

Abstract

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/earlyview/#proc15304/.pdf

Reference14 articles.

1. Graduate Texts in Mathematics;Bao, D.,2000

2. Peakless and monotone functions on 𝐺-spaces;Busemann, H.;Tsukuba J. Math.,1983

3. Convex functions on complete noncompact manifolds: topological structure;Greene, R. E.;Invent. Math.,1981

4. Convex functions on complete noncompact manifolds: differentiable structure;Greene, R. E.;Ann. Sci. \'{E}cole Norm. Sup. (4),1981

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Geodesic conjugacy for geodesically reversible Finsler metrics;International Journal of Geometric Methods in Modern Physics;2022-11-25

2. Busemann Functions in Asymptotically Harmonic Finsler Manifolds;Zurnal matematiceskoj fiziki, analiza, geometrii;2022-09-25

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