Title of article
Foliations and a class of metrics on tangent bundle
Author/Authors
PEYGHAN, Esmaeil arak university - Faculty of Science - Department of Mathematics, اراك, ايران , NOURMOHAMMADI FAR, Leila arak university - Faculty of Science - Department of Mathematics, اراك, ايران
From page
348
To page
359
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
Journal title
Turkish Journal of Mathematics
Journal title
Turkish Journal of Mathematics
Record number
2531341
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