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Abstract: Metallic Riemannian manifolds with null trace and metallic Norden manifolds are generalizations of almost product Riemannian and almost golden Riemannian manifolds with null trace and almost Norden and almost Norden golden manifolds respectively. All these pure metrics geometries can be unified under the notion of ?-metallic metric manifold. We classify this kind of manifolds in a consistent way with the wellknown classifications of almost product Riemannian manifolds with null trace and almost Norden manifolds. We also characterize all classes of ?-metallic metric manifolds by means of the first canonical connection which is a distinguished adapted connection.
Fuente: Carpathian Journal of Mathematics, 38, (2), 417-429
Publisher: Editura Universitatii de Nord
Year of publication: 2022
Publication type: Article
DOI: 10.37193/CJM.2022.02.12
ISSN: 1584-2851,1843-4401
Publication Url: https://doi.org/10.37193/CJM.2022.02.12
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FERNANDO ETAYO GORDEJUELA
DEFRANCISCO, ARACELI
SANTAMARÍA, RAFAEL
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