Turkish Journal of Mathematics
Abstract
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.
DOI
10.3906/mat-1703-11
Keywords
Almost Hermitian manifold, Kahler manifold, Kenmotsu manifold, nearly Kahler manifold, nearly Kenmotsu manifold
First Page
967
Last Page
976
Recommended Citation
HEIDARI, N, KASHANI, N. H, & NAJAFI, B (2018). Nearly Kahler and nearly Kenmotsu manifolds. Turkish Journal of Mathematics 42 (3): 967-976. https://doi.org/10.3906/mat-1703-11
