洛伦兹几乎r -对接触结构上的主纤维束

Mathematica Pannonica Pub Date : 2021-04-08 DOI:10.1556/314.2020.00003

L. Das, Mohammad Nazrul Islam Khan

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引用次数: 0

摘要

本文的目的是研究具有李群G的主纤维束(P, M, G， πp)，其中M承认在(1,1)张量场J上满足一定条件的洛伦兹几乎副接触结构(Ø， ξp， ηp, G)，在主纤维束上确实具有一个几乎积结构。在后面的章节中，我们定义了三线系系束，证明了三线系系束是主束，并在定理5.1中证明了雅可比映射π*是同构的。

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The Principal Fibre Bundle on Lorentzian Almost R-para Contact Structure

The purpose of this paper is to study the principal fibre bundle (P, M, G, πp ) with Lie group G, where M admits Lorentzian almost paracontact structure (Ø, ξp, ηp, g) satisfying certain condtions on (1, 1) tensor field J, indeed possesses an almost product structure on the principal fibre bundle. In the later sections, we have defined trilinear frame bundle and have proved that the trilinear frame bundle is the principal bundle and have proved in Theorem 5.1 that the Jacobian map π* is the isomorphism.

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Mathematica Pannonica

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