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CURVATURE PROPERTIES OF RIEMANNIAN METRICS OF THE FORM S gf

ArticleAçık Erişim

Özet

In this paper, we define a special new family of metrics which rescale the horizontal part by a nonzero differentiable function on the tangent bundle over a Riemannian manifold. We investigate curvature properties of the Levi-Civita connection and another metric connection of the new Riemannian metric.

Anahtar Kelimeler

Metric connectionRiemannian metricRiemannian curvature tensortangent bundleWeyl curvature tensorMathematics
RDL Kalıcı Bağlantı (PID)
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorGezer, Aydin
dc.contributor.authorBilen, Lokman
dc.contributor.authorKaraman, Cagri
dc.contributor.authorAltunbas, Murat
dc.date.accessioned2026-10-18T20:41:08.170777077Z
dc.date.available2026-10-18T20:41:08.170777077Z
dc.date.issued2015
dc.description.abstractIn this paper, we define a special new family of metrics which rescale the horizontal part by a nonzero differentiable function on the tangent bundle over a Riemannian manifold. We investigate curvature properties of the Levi-Civita connection and another metric connection of the new Riemannian metric.
dc.identifier.endpage194
dc.identifier.issn1307-5624
dc.identifier.issue2
dc.identifier.startpage181
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/16912
dc.identifier.volume8
dc.identifier.wosWOS:000439111500014
dc.language.isoen
dc.publisherINT ELECTRONIC JOURNAL GEOMETRY
dc.relation.ispartofINTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMetric connection
dc.subjectRiemannian metric
dc.subjectRiemannian curvature tensor
dc.subjecttangent bundle
dc.subjectWeyl curvature tensor
dc.subjectMathematics
dc.titleCURVATURE PROPERTIES OF RIEMANNIAN METRICS OF THE FORM S gf
dc.typeArticle
dspace.entity.typePublication
rdl.citation.wos4
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)