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http://dx.doi.org/10.4134/BKMS.b210190

ON THE GEOMETRY OF COMPLEX METALLIC NORDEN MANIFOLDS  

Blaga, Adara Monica (Department of Mathematics West University of Timisoara)
Kumar, Rakesh (Department of Mathematics Punjabi University)
Rani, Rachna (Department of Mathematics University College)
Publication Information
Bulletin of the Korean Mathematical Society / v.59, no.5, 2022 , pp. 1069-1091 More about this Journal
Abstract
We study almost complex metallic Norden manifolds and their adapted connections with respect to an almost complex metallic Norden structure. We study various connections like special connection of the first type, special connection of the second type, Kobayashi-Nomizu metallic Norden type connection, Yano metallic Norden type connection etc., on almost complex metallic Norden manifolds. We establish classifications of almost complex metallic Norden manifolds by using covariant derivative of the almost complex metallic Norden structure and also by using torsion tensor on the canonical connections.
Keywords
Almost complex metallic Norden manifold; Kobayashi-Nomizu metallic Norden type connection; Yano metallic Norden type connection; adapted connection; classification;
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