Finsler流形单位切线束上的Sasakian结构

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Reports on Mathematical Physics Pub Date : 2022-10-01 DOI:10.1016/S0034-4877(22)00062-3

Hassan Attarchi

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引用次数: 0

摘要

在这项工作中，我们在Finsler流形的切束上引入了一个关于切束的自然叶状的局部坐标系。通过研究Finsler流形切束上叶形和分布的一些几何性质，证明了使用这种局部框架的重要性。此外，我们还在Finsler流形(M, F)上找到了单位切束允许Sasakian结构的充分必要条件。

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Sasakian structure on the unit tangent bundle of a Finsler manifold

In this work, we introduce an adopted local frame on the tangent bundle of a Finsler manifold with respect to the natural foliations of the tangent bundle. We show the prominence of using this local frame by studying some geometric properties of the foliations and distributions on the tangent bundle of a Finsler manifold. Moreover, we find the necessary and sufficient conditions on the Finsler manifold (M, F) such that the unit tangent bundle admits a Sasakian structure.

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来源期刊

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.