Curvature tensor in tangette bundles of semi-riemannian manifold

In the conducted study, some theorems have been written by calculating coefficient of curvature tensor and coefficient of torsion tensor according to affine connection in tangente bundles of Semi-Riemannian manifold. Besides, Ricci tensor has been examined and coefficient has been calcula...

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Main Authors: Çiğdem İnci Kuzu, Nejmi Cengiz, Çiğdem İNCİ KUZU, Nejmi CENGİZ
Format: Article
Language:English
Published: BİSKA Bilisim Company 2018-08-01
Series:New Trends in Mathematical Sciences
Subjects:
Online Access:https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8460
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spelling doaj-5770ef12df75486b835e120ff7ba62222020-11-25T00:19:45ZengBİSKA Bilisim CompanyNew Trends in Mathematical Sciences2147-55202147-55202018-08-016316817310.20852/ntmsci.2018.3058460Curvature tensor in tangette bundles of semi-riemannian manifoldÇiğdem İnci Kuzu0Nejmi Cengiz1Çiğdem İNCİ KUZU2Nejmi CENGİZ3İbrahim Çeçen University of AğrıAtatürk UniversityUniversity of Ağrı İbrahim ÇeçenAtatürk UniversityIn the conducted study, some theorems have been written by calculating coefficient of curvature tensor and coefficient of torsion tensor according to affine connection in tangente bundles of Semi-Riemannian manifold. Besides, Ricci tensor has been examined and coefficient has been calculated. Finally, scalar curvature has been examined and some theorems have been associated with this.https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8460Semi-Riemannian manifoldcurvature tensortorsion tensorRicci tensorscalar curvaturelift.
collection DOAJ
language English
format Article
sources DOAJ
author Çiğdem İnci Kuzu
Nejmi Cengiz
Çiğdem İNCİ KUZU
Nejmi CENGİZ
spellingShingle Çiğdem İnci Kuzu
Nejmi Cengiz
Çiğdem İNCİ KUZU
Nejmi CENGİZ
Curvature tensor in tangette bundles of semi-riemannian manifold
New Trends in Mathematical Sciences
Semi-Riemannian manifold
curvature tensor
torsion tensor
Ricci tensor
scalar curvature
lift.
author_facet Çiğdem İnci Kuzu
Nejmi Cengiz
Çiğdem İNCİ KUZU
Nejmi CENGİZ
author_sort Çiğdem İnci Kuzu
title Curvature tensor in tangette bundles of semi-riemannian manifold
title_short Curvature tensor in tangette bundles of semi-riemannian manifold
title_full Curvature tensor in tangette bundles of semi-riemannian manifold
title_fullStr Curvature tensor in tangette bundles of semi-riemannian manifold
title_full_unstemmed Curvature tensor in tangette bundles of semi-riemannian manifold
title_sort curvature tensor in tangette bundles of semi-riemannian manifold
publisher BİSKA Bilisim Company
series New Trends in Mathematical Sciences
issn 2147-5520
2147-5520
publishDate 2018-08-01
description In the conducted study, some theorems have been written by calculating coefficient of curvature tensor and coefficient of torsion tensor according to affine connection in tangente bundles of Semi-Riemannian manifold. Besides, Ricci tensor has been examined and coefficient has been calculated. Finally, scalar curvature has been examined and some theorems have been associated with this.
topic Semi-Riemannian manifold
curvature tensor
torsion tensor
Ricci tensor
scalar curvature
lift.
url https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8460
work_keys_str_mv AT cigdemincikuzu curvaturetensorintangettebundlesofsemiriemannianmanifold
AT nejmicengiz curvaturetensorintangettebundlesofsemiriemannianmanifold
AT cigdemincikuzu curvaturetensorintangettebundlesofsemiriemannianmanifold
AT nejmicengiz curvaturetensorintangettebundlesofsemiriemannianmanifold
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