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

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 behavio...

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Main Author: Furkan Yildirim
Format: Article
Language:English
Published: BİSKA Bilisim Company 2017-08-01
Series:New Trends in Mathematical Sciences
Subjects:
Online Access:https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8293
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spelling doaj-756d7c76c39b449ba987b8482d34bb7f2020-11-24T23:09:40ZengBİSKA Bilisim CompanyNew Trends in Mathematical Sciences2147-55202147-55202017-08-015221222110.20852/ntmsci.2017.1718293Note on the cross-section in the semi-tensor bundleFurkan Yildirim0Ataturk UniversityUsing 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).https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8293Vector fieldcomplete lifthorizontal liftpull-back bundlecross-sectionsemi-tensor bundle.
collection DOAJ
language English
format Article
sources DOAJ
author Furkan Yildirim
spellingShingle Furkan Yildirim
Note on the cross-section in the semi-tensor bundle
New Trends in Mathematical Sciences
Vector field
complete lift
horizontal lift
pull-back bundle
cross-section
semi-tensor bundle.
author_facet Furkan Yildirim
author_sort Furkan Yildirim
title Note on the cross-section in the semi-tensor bundle
title_short Note on the cross-section in the semi-tensor bundle
title_full Note on the cross-section in the semi-tensor bundle
title_fullStr Note on the cross-section in the semi-tensor bundle
title_full_unstemmed Note on the cross-section in the semi-tensor bundle
title_sort note on the cross-section in the semi-tensor bundle
publisher BİSKA Bilisim Company
series New Trends in Mathematical Sciences
issn 2147-5520
2147-5520
publishDate 2017-08-01
description 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).
topic Vector field
complete lift
horizontal lift
pull-back bundle
cross-section
semi-tensor bundle.
url https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8293
work_keys_str_mv AT furkanyildirim noteonthecrosssectioninthesemitensorbundle
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