A Survey on Riemannian Curvature Tensor for Certain Classes of Almost Contact Metric Manifolds

Abstract

This paper surveyed the components of Riemannian curvature tensor over the associated space of G-structure for certain classes of almost contact metric manifolds. These classes under consideration are only twelve and known as cosymplectic manifolds, Sasakian manifolds, Kenmotsu manifolds, -manifolds, -manifolds, normal manifolds of Killing type (CNK-manifold), nearly Kenmotsu manifolds, locally conformal almost cosymplectic manifolds (LCAC-manifolds), quasi-Sasakian manifolds, almost ( )-manifolds, nearly cosymplectic manifolds, and Kenmotsu type manifolds.