Foliations of Tangent Bundle in a Finsler Manifold

Mathematics – Metric Geometry

Scientific paper

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11 pages. arXiv admin note: substantial text overlap with arXiv:1106.4823

Scientific paper

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.

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