Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-16T21:13:52.396Z Has data issue: false hasContentIssue false

Geometric properties of generalized symmetric spaces

Published online by Cambridge University Press:  30 January 2015

Esteban Calviño-Louzao
Affiliation:
Department of Geometry and Topology, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain, (estebcl@edu.xunta.es; eduardo.garcia.rio@usc.es; elena.vazquez.abal@usc.es; ravazlor@edu.xunta.es)
Eduardo García-Río
Affiliation:
Department of Geometry and Topology, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain, (estebcl@edu.xunta.es; eduardo.garcia.rio@usc.es; elena.vazquez.abal@usc.es; ravazlor@edu.xunta.es)
María Elena Vázquez-Abal
Affiliation:
Department of Geometry and Topology, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain, (estebcl@edu.xunta.es; eduardo.garcia.rio@usc.es; elena.vazquez.abal@usc.es; ravazlor@edu.xunta.es)
Ramón Vázquez-Lorenzo
Affiliation:
Department of Geometry and Topology, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain, (estebcl@edu.xunta.es; eduardo.garcia.rio@usc.es; elena.vazquez.abal@usc.es; ravazlor@edu.xunta.es)

Abstract

It is shown that four-dimensional generalized symmetric spaces can be naturally equipped with some additional structures defined by means of their curvature operators. As an application, those structures are used to characterize generalized symmetric spaces.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)