On concircularly recurrent Kähler manifolds of second order
type: Item
instance of: scholarly article
title: On concircularly recurrent Kähler manifolds of second order
zbMATH Open document ID: 0596.53022
DOI: 10.1007/BF01855802
author: B. George
published in: Periodica Mathematica Hungarica
publication date: 1985-01-01T00:00:00Z
review text: The H-concircular curvature tensor \(U_{hijk}\) in a Kaehlerian manifold has been derived by \textit{I. Hasegawa} [Hokkaido Math. J. 3, 271-278 (1974; Zbl 0292.53025)]. The authors discuss the bi-recurrence properties of this tensor. An n-dimensional Kaehlerian manifold in which \(U_{hijk}\) is bi-recurrent is called a B-\(U_ n\)-manifold. Several properties of this manifold are studied. A theorem on an Einstein B-\(U_ n\)-manifold is obtained.
Mathematics Subject Classification ID: 53B35
zbMATH DE Number: 3960453
zbMATH Keywords: Kaehler manifolds
zbMATH Keywords: concircular curvature tensor
zbMATH Keywords: recurrence properties
zbMATH Keywords: B-\(U_ n\)-manifold
MaRDI profile type: Publication
cites work: H-projective-recurrent Kählerian manifolds and Bochner-recurrent Kählerian manifolds
cites work: Q5338658
cites work: Q5342931
cites work: Three-Dimensional Spaces of Recurrent Curvature
cites work: Q5544015
cites work: On Ruse's Spaces of Recurrent Curvature
cites work: Q5333687
Recommended article: On generalized recurrent Kaehlerian manifolds of second order I
Recommended article: Q3562080
Recommended article: Q3357814
Recommended article: Q3797825
Recommended article: Q3596664
Recommended article: On manifolds with curvature condition of recurrent type of the second order
Recommended article: Q3739818
Recommended article: Q3148615
Recommended article: Kähler manifolds and the curvature operator of the second kind
Recommended article: Q4602207
description: scientific article; zbMATH DE number 3960453