CONCIRCULAR CURVATURE TENSOR ON ALMOST KENMOTSU MANIFOLDS ADMITTING THE NULLITY DISTRIBUTIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 18

Volume : 20 , Issue : 1
DOI: https://doi.org/10.56827/SEAJMMS.2024.2001.13
Author :
Arasaiah (Department of Mathematics, Sir M V Government Science College, Bommanakatte, Bhadravathi - 577302, Karnataka, INDIA)
H. M. Manjunatha (Department of Mathematics, Government First Grade College, Honnali - 577217, Davanagere, Karnataka, INDIA)

Abstract

The object of the present paper is to study almost Kenmotsu manifolds with characteristic vector field $\xi$ belonging to some nullity distributions, considering concircular curvature tensor. Locally $\phi$-concircularly symmetric almost Kenmotsu manifolds, concircularly $\phi$-recurrent almost Kenmotsu manifolds and locally concircularly $\phi$-recurrent three-dimensional almost Kenmotsu manifolds are studied. And we have obtained some interesting results.

Keywords and Phrases

Almost Kenmotsu manifolds, Nullity distributions, Concircular curvature tensor.

A.M.S. subject classification

53C25, 53D15.

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