Almost complex and almost contact structures in fibred Riemannian spaces
type: Item
instance of: scholarly article
title: Almost complex and almost contact structures in fibred Riemannian spaces
zbMATH Open document ID: 0655.53030
author: Yoshihiro Tashiro
author: Byung Hak Kim
published in: Hiroshima Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: Relations among structures of fibre spaces [cf. e.g. \textit{S. Ishihara} and \textit{M. Konishi}, Differential geometry of fibred spaces (Tokyo 1973; Zbl 0337.53001)] with almost Hermitian or almost contact metric structures and those of base spaces and fibres are studied. In particular, a condition for a fibred almost Hermitian space with anti- invariant fibres to be Kählerian is obtained. Conditions for a fibred almost contact metric space to be contact metric as well as Sasakian are found. Moreover, certain applications to tangent bundles of Riemannian spaces and almost contact metric spaces are given.
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 4069741
zbMATH Keywords: fibre spaces
zbMATH Keywords: almost contact metric structures
zbMATH Keywords: almost Hermitian space
zbMATH Keywords: tangent bundles
reviewed by: Zbigniew Olszak
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.32917/hmj/1206129866
OpenAlex ID: W1550394870
Wikidata QID: Q115222413
DOI: 10.32917/HMJ/1206129866
description: scientific article; zbMATH DE number 4069741