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Conformal actions and harmonic morphisms

Published online by Cambridge University Press:  17 January 2001

R. PANTILIE
R. PANTILIE
Affiliation:
Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT; e-mail pmtrp@amsta.leeds.ac.uk
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Abstract

We give necessary and sufficient conditions for a conformal foliation locally generated by conformal vector fields to produce harmonic morphisms. Natural constructions of harmonic maps and morphisms are thus obtained. Also we obtain reducibility results for harmonic morphisms induced by (infinitesimal) conformal actions on Einstein manifolds.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 129 , Issue 3 , November 2000 , pp. 527 - 548
Copyright
© 2000 Cambridge Philosophical Society

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