Boothby-Wang fibrations on complex contact manifolds
type: Item
instance of: scholarly article
title: Boothby-Wang fibrations on complex contact manifolds
zbMATH Open document ID: 0986.53030
DOI: 10.1016/S0926-2245(00)00025-5
published in: Differential Geometry and its Applications
publication date: 2002-05-29T00:00:00Z
review text: The Boothby-Wang fibrations form an important class of real contact manifolds [e.g. \textit{D.~E.~Blair}, Contact manifolds in Riemannian geometry, Lect. Notes Math. 509 (1976; Zbl 0319.53026)]. The author constructs a similar type of fibration for complex contact manifolds. He gives the dual symplectic structures on complex symplectic manifolds and generates two related distinct Boothby-Wang fibrations. Then the ``Whitney sum'' of these \(S^1\)-bundles gives the desired fibration. Examples are also established.
reviewed by: Zbigniew Olszak
Mathematics Subject Classification ID: 53D10
zbMATH DE Number: 1547184
zbMATH Keywords: complex contact manifold
zbMATH Keywords: complex symplectic manifolds
zbMATH Keywords: Boothby-Wang fibrations
Wikidata QID: Q115338390
author: Brendan Foreman
MaRDI profile type: Publication
full work available at URL: s0926-2245(00)00025-5
OpenAlex ID: W1973563418
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description: scientific article; zbMATH DE number 1547184