Turkish Journal of Mathematics
Article Title
Adapted basic connections to a certain subfoliation on the tangent manifold of a Finsler space
DOI
10.3906/mat-1304-8
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.
First Page
470
Last Page
482
Recommended Citation
MANEA, ADELINA and IDA, CRISTIAN
(2014)
"Adapted basic connections to a certain subfoliation on the tangent manifold of a Finsler space,"
Turkish Journal of Mathematics: Vol. 38:
No.
3, Article 10.
https://doi.org/10.3906/mat-1304-8
Available at:
https://journals.tubitak.gov.tr/math/vol38/iss3/10
