A Geometric characterization of Finsler manifolds of constant
curvature K=1
A. Bejancu1and H. R. Farran1
Received07 Dec 1998
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.