QUARTER-SYMMETRIC METRIC CONNECTION ON ALMOST KENMOTSU MANIFOLD WITH NULLITY DISTRIBUTION
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 |
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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