从流形到切线束的几乎积结构的提升

Pub Date : 2024-07-19 DOI:10.28924/2291-8639-22-2024-116

M. Kankarej

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引用次数: 0

摘要

在本文中，我探讨了几乎积结构的完全提升和水平提升的性质。它在切线束上的部分可积分性和可积分性条件也是研究的一部分。本文还探讨了几乎积结构在第三切线束 T3M 上的延长，以及关于提升的不同定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Lifts of Almost Product Structures From Manifolds to Tangent Bundles

In the present paper I have explored the properties of complete and horizontal lifts of an almost product structure. Its partial integrability and integrability conditions on the tangent bundle are part of this study. Along with different theorems on the lifts the prolongation of an almost product structure on the third tangent bundle T3M has been explored.

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