We study the class of strict nearly Kenmotsu manifolds and prove that there is no Einstein manifold or locally symmetric or locally $\phi$-symmetric in this class of manifolds. We describe strict nearly Kenmotsu manifolds in low dimensions. Finally, we obtain a relation between the curvature of nearly Kenmotsu manifolds and nearly Kahler manifolds.
HEIDARI, NIKROOZ; KASHANI, NILOUFAR HOSEEIN POUR; and NAJAFI, BEHZAD
"Nearly Kahler and nearly Kenmotsu manifolds,"
Turkish Journal of Mathematics: Vol. 42:
3, Article 19.
Available at: https://journals.tubitak.gov.tr/math/vol42/iss3/19