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 well-known 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.
Classification of pure metallic metric geometries
Etayo, Fernando, deFrancisco, Araceli and Rafael, Santamaría
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Author(s) | Etayo, Fernando, Rafael, Santamaría, deFrancisco, Araceli |
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DOI | https://doi.org/10.37193/CJM.2022.02.12 |
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Authors
Abbas, Mujahid
Acu, Dumitru
Agratini, Octavian
Balaj, Mircea
Berinde, Mădălina
Berinde, Vasile
Bărbosu, Dan
Chidume, C. E.
Choban, Mitrofan M.
Coroian, Iulian
Cosma, Ovidiu
Cristescu, Gabriela
Diudea, Mircea V.
Fukhar-ud-din, Hafiz
Gaidici, A.
Horvat-Marc, Andrei
Ioanoviciu, Aurel
Khan, Abdul Rahim
Kozma, Lidia Elena
Kumam, Poom
Levit, Vadim E.
Lungu, Nicolaie
Megan, Mihail
Mortici, Cristinel
Mureșan, Anton S.
Mureșan, Viorica
Mândrescu, Eugen
Pişcoran, Laurian-Ioan
Pop, Adina
Pop, Maria Sânziana
Pop, Nicolae
Pop, Ovidiu T.
Pop, Petrică Claudiu
Pop, Vasile
Popa, Dorian
Popa, Valeriu
Pop Sitar, Corina
Păcurar, Mădălina
Păvăloiu, Ion
Rus, Ioan A.
Rusu, Cristian
Sass, Istvan Huba Attila
Suantai, Suthep
Tașcu, Ioana
Zelina, Ioana
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