Three-dimensional Lie group actions on compact (4\(n\)+3)-dimensional geometric manifolds
type: Item
instance of: scholarly article
title: Three-dimensional Lie group actions on compact (4\(n\)+3)-dimensional geometric manifolds
zbMATH Open document ID: 1062.53063
author: Yoshinobu Kamishima
author: Tetsuro Udono
published in: Differential Geometry and its Applications
publication date: 2004-08-19T00:00:00Z
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 57S25
zbMATH DE Number: 2092775
zbMATH Keywords: quaternionic Kähler structure
zbMATH Keywords: contact structure
zbMATH Keywords: CR-structure
zbMATH Keywords: Sasakian 3-structure
zbMATH Keywords: Heisenberg CR-structure
zbMATH Keywords: quaternionic hyperbolic space
zbMATH Keywords: noncompact group action
zbMATH Keywords: flatness
MaRDI profile type: Publication
full work available at URL: j.difgeo.2003.12.001
OpenAlex ID: W2004961871
Wikidata QID: Q115358090
cites work: Pseudo-conformal quaternionic \(CR\) structure on \((4n+3)\)-dimensional manifolds
cites work: Quaternionic structures in mathematics and physics. Proceedings of the 2nd meeting, Rome, Italy, September 6--10, 1999
cites work: Riemannian geometry of contact and symplectic manifolds
cites work: Q4305108
cites work: Q5658847
cites work: Q4048191
cites work: Locally conformal Kähler geometry
cites work: Q4237093
cites work: Quaternion Kählerian manifolds
cites work: Quaternion Kählerian manifolds and fibred Riemannian spaces with Sasakian $3$-structure
cites work: Positive and negative 3-K-contact structures
cites work: CR-structures on Seifert manifolds
cites work: Geometric rigidity of spherical hypersurfaces in quaternionic manifolds
cites work: Geometric flows on compact manifolds and global rigidity
cites work: Q5565587
cites work: On manifolds with Sasakian $3$-structure over quaternion Kaehler manifolds
cites work: Lectures on groups of transformations. Notes by R. R. Simha and R. Sridharan
cites work: On the principle of uniformization
cites work: Proper actions and pseudo-Riemannian space forms
cites work: Q5618729
cites work: Topological, affine and isometric actions on flat Riemannian manifolds
cites work: A global formulation of the Lie theory of transformation groups
cites work: The conjectures on conformal transformations of Riemannian manifolds
cites work: Q3312869
cites work: Q5669004
cites work: Spherical space forms with normal contact metric 3-structure
cites work: Killing vectors on contact Riemannian manifolds and fiberings related to the Hopf fibration
cites work: Remarks on a triple of \(K\)-contact structures
cites work: Pseudo-hermitian structures on a real hypersurface
cites work: On the pseudo-conformal geometry of a Kähler manifold
DOI: 10.1016/J.DIFGEO.2003.12.001
description: scientific article; zbMATH DE number 2092775