Metallic Riemannian Structures on the Tangent Bundles of Riemannian Manifolds with g−Natural Metrics

Altunbas, Murat

doi:10.36890/iejg.1145729

Metallic Riemannian Structures on the Tangent Bundles of Riemannian Manifolds with g−Natural Metrics

ArticleAçık Erişim

Özet

Let (M, g) be a Riemannian manifold and (TM, ˜g) be its tangent bundle with the g−natural metric. In this paper, a family of metallic Riemannian structures J is constructed on TM, found conditions under which these structures are integrable. It is proved that (TM, ˜g, J) is decomposable if and only if (M, g) is flat. © 2023, International Electronic Journal of Geometry. All Rights Reserved.

Anahtar Kelimeler

g-natural metric metallic Riemannian structure tangent bundle

RDL Kalıcı Bağlantı (PID)

https://rdlopen.rawdatalibrary.net/r/ebyu/12467Resmi atıflarda kullanılan kalıcı adres

DOI

https://doi.org/10.36890/iejg.1145729Yayıncı resmi DOI adresi

Tam Kayıt

Alan	Değer	Dil
dc.contributor.author	Altunbas, Murat
dc.date.accessioned	2026-10-18T20:27:21.850197210Z
dc.date.available	2026-10-18T20:27:21.850197210Z
dc.date.issued	2023
dc.description.abstract	Let (M, g) be a Riemannian manifold and (TM, ˜g) be its tangent bundle with the g−natural metric. In this paper, a family of metallic Riemannian structures J is constructed on TM, found conditions under which these structures are integrable. It is proved that (TM, ˜g, J) is decomposable if and only if (M, g) is flat. © 2023, International Electronic Journal of Geometry. All Rights Reserved.
dc.identifier.doi	10.36890/iejg.1145729
dc.identifier.endpage	103
dc.identifier.issn	1307-5624
dc.identifier.issue	1
dc.identifier.scopus	2-s2.0-85159096829
dc.identifier.startpage	95
dc.identifier.uri	https://rdlopen.rawdatalibrary.net/r/ebyu/12467
dc.identifier.volume	16
dc.identifier.wos	WOS:000985795700007
dc.language.iso	en
dc.publisher	DergiPark
dc.relation.ispartof	International Electronic Journal of Geometry
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	g-natural metric
dc.subject	metallic Riemannian structure
dc.subject	tangent bundle
dc.title	Metallic Riemannian Structures on the Tangent Bundles of Riemannian Manifolds with g−Natural Metrics
dc.type	Article
dspace.entity.type	Publication
rdl.citation.scopus	3
rdl.citation.wos	2
rdl.oa.status	open
rdl.source.index	SCOPUS
rdl.source.index	WOS
rdl.wos.index	Emerging Sources Citation Index (ESCI)