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Harmonic morphisms from homogeneous spaces of positive curvature

Published online by Cambridge University Press:  28 July 2014

SIGMUNDUR GUDMUNDSSON  and
MARTIN SVENSSON
SIGMUNDUR GUDMUNDSSON
Affiliation:
Department of Mathematics, Faculty of Science, Lund University, Box 118, S-22100 Lund, Sweden. e-mail: Sigmundur.Gudmundsson@math.lu.se
MARTIN SVENSSON
Affiliation:
Department of Mathematics & Computer Science, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark. e-mail: svensson@imada.sdu.dk
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Abstract

We prove local existence of complex-valued harmonic morphisms from any Riemannian homogeneous space of positive curvature, except the Berger space Sp(2)/SU(2).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 157 , Issue 2 , September 2014 , pp. 321 - 327
Copyright
Copyright © Cambridge Philosophical Society 2014 

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