A note on toric contact geometry
type: Item
instance of: scholarly article
title: A note on toric contact geometry
zbMATH Open document ID: 0984.53032
DOI: 10.1016/S0393-0440(99)00078-9
author: Charles P. Boyer
author: Krzysztof Galicki
published in: Journal of Geometry and Physics
publication date: 2001-09-25T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/9907043
review text: A contact manifold \(M\) of dimension \(2n+1\) is called a toric contact manifold if there is an effective \((n+1)\)-dimensional torus action on \(M\) that preserves a contact 1-form. If, in addition, the associated Reeb vector field corresponds to an element of the Lie algebra of this torus action, we say that \(M\) is a toric contact manifold of Reeb type. In this paper, the authors prove that every toric contact manifold of Reeb type can be obtained by so-called contact reduction from an odd dimensional sphere.
reviewed by: Jih-Hsin Cheng
Mathematics Subject Classification ID: 53D10
Mathematics Subject Classification ID: 53D20
zbMATH DE Number: 1590739
zbMATH Keywords: toric contact manifold
zbMATH Keywords: contact reduction
zbMATH Keywords: Reeb vector field
MaRDI profile type: Publication
arXiv ID: math/9907043
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description: scientific article; zbMATH DE number 1590739