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

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

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.

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Bibliographic Details
Main Authors:	A. Bejancu, H. R. Farran
Format:	Article
Language:	English
Published:	Wiley 2000-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	Finsler manifold of constant curvature Killing vector field indicatrix bundle horizontal Liouville vector field.
Online Access:	http://dx.doi.org/10.1155/S0161171200002179
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Description
Summary:	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.
ISSN:	0161-1712 1687-0425