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Notes on the Rescaled Sasaki Type Metric on the Cotangent Bundle

ArticleAçık Erişim

Özet

Let (M,g) be an n-dimensional Riemannian manifold and T*M be its cotangent bundle equipped with the rescaled Sasaki type metric. In this paper, we firstly study the paraholomorphy property of the rescaled Sasaki type metric by using some compatible paracomplex structures on T*M. Second, we construct locally decomposable Golden Riemannian structures on T*M. Finally we investigate curvature properties of T*M. © 2014 Wuhan Institute of Physics and Mathematics.

Anahtar Kelimeler

Almost paracomplex structureCotangent bundleGolden structureParaholomorphic tensor fieldRiemannian curvature tensorScalar curvature
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorGezer, Aydin
dc.contributor.authorAltunbas, Murat
dc.date.accessioned2026-10-18T20:30:28.064754658Z
dc.date.available2026-10-18T20:30:28.064754658Z
dc.date.issued2014
dc.description.abstractLet (M,g) be an n-dimensional Riemannian manifold and T*M be its cotangent bundle equipped with the rescaled Sasaki type metric. In this paper, we firstly study the paraholomorphy property of the rescaled Sasaki type metric by using some compatible paracomplex structures on T*M. Second, we construct locally decomposable Golden Riemannian structures on T*M. Finally we investigate curvature properties of T*M. © 2014 Wuhan Institute of Physics and Mathematics.
dc.identifier.doi10.1016/s0252-9602(13)60133-2
dc.identifier.eissn1572-9087
dc.identifier.endpage174
dc.identifier.issn0252-9602
dc.identifier.issue1
dc.identifier.scopus2-s2.0-84888787527
dc.identifier.startpage162
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/15620
dc.identifier.volume34
dc.identifier.wosWOS:000330090300011
dc.language.isoen
dc.publisherSPRINGER
dc.relation.ispartofActa Mathematica Scientia
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectAlmost paracomplex structure
dc.subjectCotangent bundle
dc.subjectGolden structure
dc.subjectParaholomorphic tensor field
dc.subjectRiemannian curvature tensor
dc.subjectScalar curvature
dc.titleNotes on the Rescaled Sasaki Type Metric on the Cotangent Bundle
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus14
rdl.citation.wos13
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)