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Volume, energy and generalized energy of unit vector fields on Berger spheres: stability of Hopf vector fields

Published online by Cambridge University Press:  12 July 2007

Olga Gil-Medrano  and
Ana Hurtado
Olga Gil-Medrano
Affiliation:
Departamento de Geometría y Topología, Universitat de València, 46100 Burjassot, Valencia, Spain (olga.gil@uv.es)
Ana Hurtado
Affiliation:
Departamento de Geometría y Topología, Universitat de València, 46100 Burjassot, Valencia, Spain (ana.maria.hurtado@uv.es)
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Abstract

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We study to what extent the known results concerning the behaviour of Hopf vector fields, with respect to volume, energy and generalized energy functionals, on the round sphere are still valid for the metrics obtained by performing the canonical variation of the Hopf fibration.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 4 , August 2005 , pp. 789 - 813
Copyright
Copyright © Royal Society of Edinburgh 2005