Generalized Sasakian-space-forms
type: Item
instance of: scholarly article
title: Generalized Sasakian-space-forms
zbMATH Open document ID: 1064.53026
DOI: 10.1007/BF02772217
author: Pablo Alegre
author: Alfonso Carriazo
author: David E. Blair
published in: Israel Journal of Mathematics
publication date: 2004-11-11T00:00:00Z
review text: The authors introduce generalized Sasakian-space-forms and study their basic properties. They state that every generalized Sasakian-space-form with a \(K\)-contact structure is a Sasakian manifold, and, if the dimension is \(\geq5\), a Sasakian-space-form. The conditions for a generalized Sasakian-space-form to be a contact metric manifold are investigated. To construct many examples of these manifolds the authors use a wide variety of geometric constructions, such as Riemannian submersions, product manifolds, warped products, conformal transformations, \(D\)-homothetic deformations and \(D\)-conformal deformations. Some further results on generalized complex-space-forms are also stated.
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 2114647
zbMATH Keywords: Riemannian submersion
zbMATH Keywords: Sasakian-space-forms
zbMATH Keywords: \(K\)-contact structure
reviewed by: Neda Bokan
MaRDI profile type: Publication
cites work: The theory of quasi-Sasakian structures
cites work: Riemannian geometry of contact and symplectic manifolds
cites work: Q3031565
cites work: Q3322795
cites work: Almost contact structures and curvature tensors
cites work: A class of almost contact Riemannian manifolds
cites work: Submanifolds of cosymplectic manifolds
cites work: The local structure of trans-Sasakian manifolds
cites work: On the existence of generalized complex space forms
cites work: Q3312869
cites work: Q3750580
cites work: On the curvature of contact metric manifolds
cites work: Q4776555
cites work: The topology of contact Riemannian manifolds
cites work: Curvature Tensors on Almost Hermitian Manifolds
cites work: Q3868422
cites work: Q4112572
full work available at URL: https://doi.org/10.1007/bf02772217
OpenAlex ID: W2095564804
description: scientific article; zbMATH DE number 2114647