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标题：A Geometric characterization of Finsler manifolds of constant curvature <mml:math alttext="$K = 1$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>K</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math>
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作者：A. Bejancu ; H. R. Farran
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2000
卷号：23
DOI：10.1155/S0161171200002179
出版社：Hindawi Publishing Corporation
摘要：We prove that a Finsler manifold 𝔽m is of constant curvature K=1 if and only if the unit horizontal Liouville vector field is a Killing vector field on the indicatrix bundle IM of 𝔽m.