Generalized quasi-Kählerian manifolds and axioms of CR-submanifolds in generalized Hermitian geometry. I
type: Item
instance of: scholarly article
title: Generalized quasi-Kählerian manifolds and axioms of CR-submanifolds in generalized Hermitian geometry. I
zbMATH Open document ID: 0817.53016
DOI: 10.1007/BF01264102
author: V. F. Kirichenko
published in: Geometriae Dedicata
publication date: 1995-08-03T00:00:00Z
review text: The axiom of planes and of holomorphic planes are generalized here by the so-called axiom of CR-submanifolds. Generalized quasi-Kählerian manifolds are studied. The results of \textit{A. Gray} and \textit{L. Vanhecke} [Čas. Peštovani Mat. 104, 170-179 (1979; Zbl 0413.53011)] as well as \textit{A. M. Naveira} and \textit{L. M. Hervella} [Proc. Am. Math. Soc. 49, 421-425 (1975; Zbl 0282.53021)] for nearly Kähler manifolds are generalized here. A complete classification of split reductive generalized nearly Kählerian manifolds of constant holomorphic sectional curvature is obtained.
reviewed by: Cornelia-Livia Bejan
Mathematics Subject Classification ID: 53C10
Mathematics Subject Classification ID: 53C05
zbMATH DE Number: 663735
zbMATH Keywords: nearly Kähler manifolds
zbMATH Keywords: holomorphic sectional curvature
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01264102
OpenAlex ID: W4234446077
description: scientific article; zbMATH DE number 663735