An Adapted Frame on Indicatrix Bundle of a Finsler Manifold and its Geometric Properties

Details An Adapted Frame on Indicatrix Bundle of a Finsler Manifold and its Geometric Properties An Adapted Frame on Indicatrix Bundle of a Finsler Manifold and its Geometric Properties

2011-06-23

arxiv.org/abs/1106.4823v1

Mathematics

Metric Geometry

10 pages

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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