On twistor harmonic surfaces in the complex projective plane

Author:

CASTRO ILDEFONSO,URBANO FRANCISCO

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Lagrangian Bonnet Problems in Complex Space Forms;Acta Mathematica Sinica, English Series;2019-03-31

2. Twistor Lifts and Factorization for Conformal Maps from a Surface to the Euclidean Four-space;Advances in Applied Clifford Algebras;2016-09-28

3. Lagrangian Bonnet pairs in $\mathbb CP^2$;Proceedings of the American Mathematical Society;2009-08-01

4. On surfaces whose twistor lifts are harmonic sections;Journal of Geometry and Physics;2007-06

5. Lagrangian surfaces with circular ellipse of curvature in complex space forms;Mathematical Proceedings of the Cambridge Philosophical Society;2004-01

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