On the quasi-conformal curvature tensor of an almost Kenmotsu manifold with nullity distributions

Abstract

The object of the present paper is to characterize quasi-conformally flat and $\xi$-quasi-conformally flat almost Kenmotsu manifolds with $(k,\mu)$-nullity and $(k,\mu)'$-nullity distributions respectively. Also we characterize almost Kenmotsu manifolds with vanishing extended quasi-conformal curvature tensor and extended $\xi$-quasi-conformally flat almost Kenmotsu manifolds such that the characteristic vector field $\xi$ belongs to the $(k,\mu)$-nullity distribution.

Some type of semisymmetry on two classes of almost Kenmotsu manifolds

“…al [7] classified almost Kenmotsu manifolds with generalized (k, µ) -nullity distribution satisfying certain curvature condition. In [4], Dey and Majhi studied Quasi-conformal curvature tensor on almost Kenmotsu manifolds.…”