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Bull. Korean Math. Soc. 2022; 59(5): 1069-1091
Online first article September 7, 2022 Printed September 30, 2022
https://doi.org/10.4134/BKMS.b210190
Copyright © The Korean Mathematical Society.
On the geometry of complex metallic Norden manifolds
Adara Monica Blaga, Rakesh Kumar, Rachna Rani
West University of Timi\c{s}oara; Punjabi University; University College
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
MSC numbers: Primary 53C15, 53C05
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