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On twistor harmonic surfaces in the complex projective plane

Published online by Cambridge University Press:  01 July 1997

ILDEFONSO CASTRO  and
FRANCISCO URBANO
ILDEFONSO CASTRO
Affiliation:
Departamento de Matemáticas, Escuela Politécnica Superior, Universidad de Jaén, 23071 Jaén, Spain e-mail: icastro@piturda.ujaen.es
FRANCISCO URBANO
Affiliation:
Departamento de Matemáticas, Escuela Politécnica Superior, Universidad de Jaén, 23071 Jaén, Spain e-mail: icastro@piturda.ujaen.es
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Abstract

We completely classify all the twistor harmonic (non-minimal) Lagrangian immersions of compact surfaces in the complex projective plane [Copf]ℙ2, i.e. those Lagrangian immersions such that their twistor lifts to the twistor space over [Copf]ℙ2 are harmonic maps.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 122 , Issue 1 , July 1997 , pp. 115 - 129
Copyright
Cambridge Philosophical Society 1997

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