Document Type : Review Paper

Author

• Mohammed Yousif Abass

University of Basrah

Abstract

This paper is survey the components of Riemannian curvature tensor over the associated space of G-structures for certain classes of almost contact metric manifolds. These classes under consideration are twelve and known as cosymplectic manifolds, Sasakian manifolds, Kenmotsu manifolds, C_9-manifolds, C_12-manifolds, normal manifolds of Killing type (CNK-manifold), nearly Kenmotsu manifolds, locally conformal almost cosymplectic manifolds (LCAC-manifolds), quasi-Sasakian manifolds, almost C(λ)-manifolds, nearly cosymplectic manifolds, and Kenmotsu type manifolds.
This paper is survey the components of Riemannian curvature tensor over the associated space of G-structures for certain classes of almost contact metric manifolds. These classes under consideration are twelve and known as cosymplectic manifolds, Sasakian manifolds, Kenmotsu manifolds, C_9-manifolds, C_12-manifolds, normal manifolds of Killing type (CNK-manifold), nearly Kenmotsu manifolds, locally conformal almost cosymplectic manifolds (LCAC-manifolds), quasi-Sasakian manifolds, almost C(λ)-manifolds, nearly cosymplectic manifolds, and Kenmotsu type manifolds.
This paper is survey the components of Riemannian curvature tensor over the associated space of G-structures for certain classes of almost contact metric manifolds. These classes under consideration are twelve and known as cosymplectic manifolds, Sasakian manifolds, Kenmotsu manifolds, C_9-manifolds, C_12-manifolds, normal manifolds of Killing type (CNK-manifold), nearly Kenmotsu manifolds, locally conformal almost cosymplectic manifolds (LCAC-manifolds), quasi-Sasakian manifolds, almost C(λ)-manifolds, nearly cosymplectic manifolds, and Kenmotsu type manifolds.

Keywords

• Kenmotsu manifolds
• C(Lamda)-manifolds
• Sasakian manifolds
• cosymplectic manifolds
• Einstein manifolds

Main Subjects

• Mathematical