Ildefonso Castro, Francisco Urbano
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.
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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.
Key concepts: Twistor theory, Twistor space, Projective plane, Mathematics, Harmonic, Lagrangian, Plane (geometry), Complex projective space