Journals / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 3
Adapted basic connections to a certain subfoliation on the tangent manifold of a Finsler space
- Pages
- 470–482
- DOI
- —
Abstract
On the slit tangent manifold TM0 of a Finsler space (M,F) there are given some natural foliations as vertical foliation and some other fundamental foliations produced by the vertical and horizontal Liouville vector fields, see [A. Bejancu, H. R. Farran, Finsler Geometry and Natural Foliations on the Tangent Bundle, Rep. Math. Physics 58, No. 1 (2006), 131--146]. In this paper we consider a (n,2n-1)-codimensional subfoliation (FV,FG) on TM0 given by vertical foliation FV and the line foliation spanned by vertical Liouville vector field G and we give a triplet of basic connections adapted to this subfoliation.
Özet
On the slit tangent manifold TM0 of a Finsler space (M,F) there are given some natural foliations as vertical foliation and some other fundamental foliations produced by the vertical and horizontal Liouville vector fields, see [A. Bejancu, H. R. Farran, Finsler Geometry and Natural Foliations on the Tangent Bundle, Rep. Math. Physics 58, No. 1 (2006), 131--146]. In this paper we consider a (n,2n-1)-codimensional subfoliation (FV,FG) on TM0 given by vertical foliation FV and the line foliation spanned by vertical Liouville vector field G and we give a triplet of basic connections adapted to this subfoliation.