Meta-metallic Riemannian manifolds

Meta-metallic Riemannian manifolds

In this study, motivated by the Meta-Golden-Chi ratio, we develop essentially Meta-Metallic manifolds by using Meta-Metallic-Chi ratio and Metallic manifolds, provide an example and explore certain features of its Meta-Metallic structure. We give the conditions for integrability of the almost Meta-M...

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Veröffentlicht in:Filomat 2024, Vol.38 (1), p.315-323
Hauptverfasser: Erdoğan, Feyza, Perktaş, Selcen, Bozdağ, Şerife
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creator Erdoğan, Feyza
Perktaş, Selcen
Bozdağ, Şerife
description In this study, motivated by the Meta-Golden-Chi ratio, we develop essentially Meta-Metallic manifolds by using Meta-Metallic-Chi ratio and Metallic manifolds, provide an example and explore certain features of its Meta-Metallic structure. We give the conditions for integrability of the almost Meta-Metallic structure and examine its relation to the curvature tensor field. We further demonstrate that the Meta-Metallic Riemannian manifold is flat if and only if its curvature is constant. As a result, we show that a different notion of sectional curvature is needed in Meta-Metallic Riemannian manifolds.
doi_str_mv 10.2298/FIL2401315E
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title Meta-metallic Riemannian manifolds
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