Turkish Journal of Mathematics
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.
Keywords
Finsler manifold, subfoliation, basic connection
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
