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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 6, Pages 399-407
doi:10.1155/S0161171200002179

A Geometric characterization of Finsler manifolds of constant curvature K=1

A. Bejancu and H.R. Farran

Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat, 13060, Kuwait

Abstract

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.