由余切丛的投影定义的张量丛的拉回丛中的水平升力问题

IF 0.7 Q2 MATHEMATICS Tbilisi Mathematical Journal Pub Date : 2021-08-01 DOI:10.32513/tmj/19322008143
Furkan Yildirim
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引用次数: 0

摘要

利用余切丛T*M在流形M上的投影(浸没),我们定义了(p,q)型的半张量(拉回)丛tM。本文的目的是研究一类特殊的(p,q)型半张量(拉回)丛tM中向量场的水平提升。
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Horizontal lift problems in a pull-back bundle of tensor bundles defined by projection of the cotangent bundles
Using projection (submersion) of the cotangent bundle T*M over a manifold M, we define a semi-tensor (pull-back) bundle tM of type (p,q). The purpose of this paper is to investigate horizontal lifts of vector fields in a special class of semi-tensor (pull-back) bundle tM of type (p,q).
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