QUARTER-SYMMETRIC METRIC CONNECTION ON ALMOST KENMOTSU MANIFOLD WITH NULLITY DISTRIBUTION

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 44

Abstract

The aim of the present paper is to characterized $(k,\mu)'$ almost Kenmotsu manifold admitting quarter-symmetric metric connection. Next we consider an almost Kenmotsu manifold with $h'\neq 0$ and $\xi$ belonging to $(k,\mu)'$-nullity distribution satisfying certain curvature conditions with respect to quarter-symmetric metric connection.

Keywords and Phrases

Almost Kenmotsu manifold, quarter-symmetric metric connection, curvature tensor, CR-integrable, nullity distribution.

A.M.S. subject classification

53C05, 53D10, 53D15.

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