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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/124672026-10-18T20:36:49Zopenairedrivercom_ebyu_10000col_ebyu_10001

Metallic Riemannian Structures on the Tangent Bundles of Riemannian Manifolds with g−Natural MetricsAltunbas, Muratg-natural metricmetallic Riemannian structuretangent bundleLet (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.DergiPark2023Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/12467https://doi.org/10.36890/iejg.11457291307-5624enInternational Electronic Journal of Geometryinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12467