International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 6, Pages 399-407

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

Received 7 December 1998

Copyright © 2000 A. Bejancu and H. R. Farran. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.