横向Finsler叶上的若干框架结构

Annales Umcs, Mathematica Pub Date : 1900-01-01 DOI:10.2478/V10062-011-0007-4

C. Ida

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引用次数: 4

摘要

研究了抬升的Finsler叶理的法向束上的Liouville分布和框架\(f\) -结构的一些问题。证明了横向Finsler叶理的Liouville分布是一个可积分布，并且在被抬升的Finsler叶理的法向束上存在一些天然的框架\(f(3,\varepsilon)\) -结构。

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Some framed f -structures on transversally Finsler foliations

Some problems concerning to Liouville distribution and framed \(f\)-structures are studied on the normal bundle of the lifted Finsler foliation to its normal bundle. It is shown that the Liouville distribution of transversally Finsler foliations is an integrable one and some natural framed \(f(3,\varepsilon)\)- structures of corank 2 exist on the normal bundle of the lifted Finsler foliation.

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Annales Umcs, Mathematica

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