Geometry of oscillator groups and locally symmetric manifolds
type: Item
instance of: scholarly article
title: Geometry of oscillator groups and locally symmetric manifolds
zbMATH Open document ID: 1088.53045
DOI: 10.1023/B:GEOM.0000033845.70512.13
author: A. Shirley Bromberg
author: B. Alberto Medina
published in: Geometriae Dedicata
publication date: 2005-04-07T00:00:00Z
review text: The authors exhibit new locally symmetric structures on the oscillator manifolds. These structures are obtained from explicit pseudo-Riemannian, locally symmetric, left invariant metrics and from affine structures on the oscillator groups in the sense of [\textit{A. Medina} and \textit{P. Revoy}, Manuscr. Math. 52, 81--95 (1985; Zbl 0576.53042)]. Moreover, they produce other examples of locally symmetric manifolds by the determination of the group of isometries of the oscillator groups.
reviewed by: Marisa Fernández
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53D25
Mathematics Subject Classification ID: 53C35
zbMATH DE Number: 2153903
zbMATH Keywords: oscillator groups
zbMATH Keywords: locally symmetric pseudo-Riemannian structures
zbMATH Keywords: locally affine manifolds
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2153903