Foliations of Tangent Bundle in a Finsler Manifold

Abstract

In this paper, a frame is introduced on tangent bundle of a Finsler manifold in a manner that it makes some simplicity to study the properties of the natural foliations in tangent bundle. Moreover, we show that the indicatrix bundle of a Finsler manifold with lifted sasaki metric and natural almost complex structure on tangent bundle cannot be a sasakian manifold.

arXiv comment11 pages. arXiv admin note: substantial text overlap with arXiv:1106.4823, arXiv:1106.2663