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

Abass, Mohammed Yousif

doi:10.37652/juaps.2024.145137.1167

	A Survey on Riemannian Curvature Tensor for Certain Classes of Almost Contact Metric Manifolds
Journal of University of Anbar for Pure Science
Volume 18, Issue 1, June 2024, Pages 246-251 PDF (496.16 K)
Document Type: Review Paper
DOI: 10.37652/juaps.2024.145137.1167
Author
Mohammed Yousif Abass^*
Department of Mathematics, College of Science, University of Basrah, Basra, Iraq;
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

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