Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2022; 37(3): 813-824

Online first article June 28, 2022      Printed July 31, 2022

https://doi.org/10.4134/CKMS.c200471

Copyright © The Korean Mathematical Society.

Solitons of K"{A}hlerian Norden space-time manifolds

Praveena Manjappa Mundalamane, Bagewadi Channabasappa Shanthappa, Mallannara Siddalingappa Siddesha

M. S. Ramaiah Institute of Technology (Affiliated to VTU); Kuvempu University; Jain University

Abstract

We study solitons of K"{a}hlerian Norden space-time manifolds and Bochner curvature tensor in almost pseudo symmetric K"{a}hlerian space-time manifolds. It is shown that the steady, expanding or shrinking solitons depend on different relations of energy density/isotropic pressure, the cosmological constant, and gravitational constant.

Keywords: K"{a}hlerian Norden space-time manifolds, solitons, almost pseudo symmetric manifold

MSC numbers: Primary 52Q15, 35C08, 81T20

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