Acta mathematica scientia,Series A ›› 2008, Vol. 28 ›› Issue (6): 1218-1221.
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Deng Shaoqiang
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Abstract:
In this note, we prove that a two point homogeneous Finsler space is a Riemannian space. As a byproduct, we generalize a classical result of Mazur in functional analysis, asserting that a finite-dimensional transitive reversible normed linear space is a Euclidean space to the case of a non-reversible Minkowski space.
Key words: Two point homogeneous Finsler space, Group of isometries, Minkowski space
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Deng Shaoqiang. On Two Point Homogeneous Finsler Spaces[J].Acta mathematica scientia,Series A, 2008, 28(6): 1218-1221.
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