Turkish Journal of Mathematics
Abstract
On the slit tangent manifold TM^0 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 (F_V,F_{\Gamma}) on TM^0 given by vertical foliation F_V and the line foliation spanned by vertical Liouville vector field \Gamma and we give a triplet of basic connections adapted to this subfoliation.
DOI
10.3906/mat-1304-8
Keywords
Finsler manifold, subfoliation, basic connection
First Page
470
Last Page
482
Recommended Citation
MANEA, A, & IDA, C (2014). Adapted basic connections to a certain subfoliation on the tangent manifold of a Finsler space. Turkish Journal of Mathematics 38 (3): 470-482. https://doi.org/10.3906/mat-1304-8
