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http://dx.doi.org/10.11568/kjm.2021.29.4.801

QUASI-CONFORMAL CURVATURE TENSOR ON N (k)-QUASI EINSTEIN MANIFOLDS  

Hazra, Dipankar (Department of Mathematics, Heramba Chandra College)
Sarkar, Avijit (Department of Mathematics, University of Kalyani)
Publication Information
Korean Journal of Mathematics / v.29, no.4, 2021 , pp. 801-810 More about this Journal
Abstract
This paper deals with the study of N (k)-quasi Einstein manifolds that satisfies the certain curvature conditions 𝒞*·𝒞* = 0, 𝓢·𝒞* = 0 and ${\mathcal{R}}{\cdot}{\mathcal{C}}_*=f{\tilde{Q}}(g,\;{\mathcal{C}}_*)$, where 𝒞*, 𝓢 and 𝓡 denotes the quasi-conformal curvature tensor, Ricci tensor and the curvature tensor respectively. Finally, we construct an example of N (k)-quasi Einstein manifold.
Keywords
k-nullity distribution; quasi-Einstein manifolds; N(k)-quasi Einsteinmanifolds; quasi-conformal curvature tensor; ${\mathcal{C}}_*$-pseudosymmetric;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
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