Note on the cross-section in the semi-tensor bundle

Year 2017, Volume: 5 Issue: 2, 212 - 221, 30.03.2017

Furkan Yildirim

https://izlik.org/JA98JN68UF

Abstract

Using the fiber bundle M over a manifold B, we define a semi-tensor (pull-back) bundle tB of type (p,q). The complete and horizontal lift of projectable geometric objects on M to the semi-tensor (pull-back) bundle tB of type (p,q) are presented. The main purpose of this paper is to study the behaviour of complete lift of vector and affinor (tensor of type (1,1)) fields on cross-sections for pull-back (semi-tensor) bundle tB of type (p,q).

Keywords

Vector field , complete lift , horizontal lift , pull-back bundle , cross-section

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