International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 3, Pages 637-642
doi:10.1155/S0161171299226373
On the vertical bundle of a pseudo-Finsler manifold
Aurel Bejancu1
and Hani Reda Farran2
1Department of Mathematics, Technical University of Iasi, C. P. 17, Iasi 1, Iasi 6600, Romania
2Department of Mathematics and Computer Sciences, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
Abstract
We define the Liouville distribution on the tangent bundle of a pseudo-Finsler manifold and prove that it is integrable. Also, we find geometric properties of both leaves of Liouville distribution and the vertical distribution.