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Geometric properties of generalized symmetric spaces

Published online by Cambridge University Press:  30 January 2015

Esteban Calviño-Louzao ,
Eduardo García-Río ,
María Elena Vázquez-Abal  and
Ramón Vázquez-Lorenzo
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)
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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
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 145 , Issue 1 , February 2015 , pp. 47 - 71
Copyright
Copyright © Royal Society of Edinburgh 2015 

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