Some curvature properties on Lorentzian generalized Sasakian-space-forms
type: Item
instance of: scholarly article
title: Some curvature properties on Lorentzian generalized Sasakian-space-forms
zbMATH Open document ID: 1443.53040
DOI: 10.1155/2019/5136758
author: Rongsheng Ma
author: Donghe Pei
published in: Advances in Mathematical Physics
publication date: 2020-07-16T00:00:00Z
review text: Summary: In this paper, we investigate the Lorentzian generalized Sasakian-space-form. We give the necessary and sufficient conditions for the Lorentzian generalized Sasakian-space-form to be projectively flat, conformally flat, conharmonically flat, and Ricci semisymmetric and their relationship between each other. As the application of our theorems, we study the Ricci almost soliton on conformally flat Lorentzian generalized Sasakian-space-form.
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 7221710
zbMATH Keywords: projectively flat
zbMATH Keywords: conformally flat
zbMATH Keywords: conharmonically flat
zbMATH Keywords: Ricci semisymmetric
zbMATH Keywords: Ricci almost soliton
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2019/5136758
OpenAlex ID: W2996123041
cites work: Classical gauge theory in Riem
cites work: Riemannian geometry of contact and symplectic manifolds
cites work: Generalized Sasakian-space-forms
cites work: Semi-Riemannian generalized Sasakian space forms
cites work: Three-manifolds with positive Ricci curvature
cites work: Ricci solitons on Lorentzian manifolds with large isometry groups
cites work: Second order parallel tensors and Ricci solitons in 3-dimensional normal paracontact geometry
cites work: A complete classification of Ricci and Yamabe solitons of non-reductive homogeneous 4-spaces
cites work: Ricci almost solitons
cites work: Space time manifolds and contact structures
cites work: Contact pseudo-metric manifolds
cites work: On sectional curvatures of \((\varepsilon)\)-Sasakian manifolds
cites work: Curvature and Betti numbers
cites work: Q3312869
cites work: Q3243587
cites work: Conformal vector fields in general relativity
Wikidata QID: Q126538369
Recommended article: Some curvature properties of generalized Sasakian-space-forms
Recommended article: Q6046636
Recommended article: Certain curvature properties of generalized Sasakian-space-forms
Recommended article: Q5412763
Recommended article: Q5360979
Recommended article: Some curvature properties of Lorentzian α-Sasakian manifolds
Recommended article: Certain curvature conditions on generalized sasakian space-forms
Recommended article: Q3457484
Recommended article: Q5124128
Recommended article: Q5254810
description: scientific article; zbMATH DE number 7221710