Affine functions and Busemann functions on complete Finsler manifolds | Zendy

Nobuhiro Innami | Zendy; Yoe Itokawa | Zendy; Tetsuya Nagano | Zendy; Katsuhiro Shiohama | Zendy

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Affine functions and Busemann functions on complete Finsler manifolds

Author(s) -

Nobuhiro Innami,

Yoe Itokawa,

Tetsuya Nagano,

Katsuhiro Shiohama

Publication year - 2021

Publication title -

proceedings of the american mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.968

H-Index - 84

eISSN - 1088-6826

pISSN - 0002-9939

DOI - 10.1090/proc/15304

Subject(s) - affine transformation , minkowski space , mathematics , manifold (fluid mechanics) , pure mathematics , dimension (graph theory) , finsler manifold , affine coordinate system , space (punctuation) , function (biology) , relation (database) , mathematical analysis , affine space , computer science , geometry , curvature , ricci curvature , mechanical engineering , evolutionary biology , biology , engineering , operating system , database

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.

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