$T_{q}^{p}(M)$上沿截面的仿射场对角上的升力的算子

IF 0.4 Q4 MATHEMATICS International Electronic Journal of Geometry Pub Date : 2023-04-12 DOI:10.36890/iejg.1170443

Haşim Çayır, Behboudi Asl

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摘要

本文首先对(1,1)型张量场沿截面从流形到它的(p,q)型张量束的对角升力φ ^{D}分别应用算子进行垂直升力和水平升力。其次，我们得到了T_{q}^{p}(M)上关于φ ^{D}的向量场几乎全纯的条件。

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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Operators Applied to Lifts with Respect to the Diagonal Lifts of Affinor Fields Along a Cross-Section on $T_{q}^{p}(M)$

In this paper firstly, operators were applied to vertical and horizontal lifts with respect to the diagonal lift ϕ^{D} of tensor fields of type (1,1) from manifold to its tensor bundle of type (p,q) along the cross-section, respectively. Secondly, we get the conditions of almost holomorfic vector field with respect to ϕ^{D} on T_{q}^{p}(M).

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