Turkish Journal of Mathematics
DOI
10.3906/mat-1102-36
Abstract
Let M be a smooth manifold with Finsler metric F, and let TM° be the slit tangent bundle of M with a generalized Riemannian metric G, which is induced by F. In this paper, we extract many natural foliations of (TM°,G) and study some of their geometric properties. Next we use this approach to obtain new characterizations of Finsler manifolds with positive constant curvature.
Keywords
Finsler manifold, foliation, constant curvature, Riemannian metric
First Page
348
Last Page
359
Recommended Citation
PEYGHAN, ESMAEIL and FAR, LEILA NOURMOHAMMADI
(2013)
"Foliations and a class of metrics on tangent bundle,"
Turkish Journal of Mathematics: Vol. 37:
No.
2, Article 15.
https://doi.org/10.3906/mat-1102-36
Available at:
https://journals.tubitak.gov.tr/math/vol37/iss2/15
