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HOMOGENEOUS RIEMANNIAN STRUCTURES ON BERGER 3-SPHERES

Published online by Cambridge University Press:  23 May 2005

P. M. Gadea  and
J. A. Oubiña
P. M. Gadea
Affiliation:
Institute of Mathematics and Fundamental Physics, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, Spain (pmgadea@iec.csic.es)
J. A. Oubiña
Affiliation:
Departamento de Xeometría e Topoloxía, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain (jaoubina@usc.es)
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Abstract

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The homogeneous Riemannian structures on the three-dimensional Berger spheres, their corresponding reductive decompositions and the associated groups of isometries are obtained. The Berger 3-spheres are also considered as homogeneous almost contact metric manifolds.

Keywords

Primary 53C3053C25Berger sphereshomogeneous Riemannian structuresalmost contact metric structures
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 48 , Issue 2 , June 2005 , pp. 375 - 387
Copyright
Copyright © Edinburgh Mathematical Society 2005