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

2011/06/23 by H. Attarchi, Attarchi, H., M. M. Rezaii +1
Mathematics · #FOS: Mathematics #Metric Geometry (math.MG) #math.MG

paper · pdf · doi:10.48550/arxiv.1106.4823

Duo to some error on the last Theorem

arxiv created 2014/07/22 · arxiv updated 2014/07/23

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.

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