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

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Bibliographic Details
Main Author: Mohammed Abass
Format: Article
Language:English
Published: University of Anbar 2024-06-01
Series:مجلة جامعة الانبار للعلوم الصرفة
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Online Access:https://juaps.uoanbar.edu.iq/article_182380_6f2b1bbc1bee060916636b63fa7771f4.pdf
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Summary: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.
ISSN:1991-8941
2706-6703