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HOMOGENEOUS RIEMANNIAN STRUCTURES ON BERGER 3-SPHERES

Published online by Cambridge University Press:  23 May 2005

P. M. Gadea
Affiliation:
Institute of Mathematics and Fundamental Physics, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, Spain ([email protected])
J. A. Oubiña
Affiliation:
Departamento de Xeometría e Topoloxía, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain ([email protected])
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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.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2005