Foliations of Tangent Bundle in a Finsler Manifold

2012/01/06 by Hassan Attarchi, Attarchi, H., M. M. Rezaii +1
Physics and Astronomy · #53B40 #Advanced Differential Geometry Research #FOS: Mathematics #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.1201.1467

openalex publication_date 2012/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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