Abstract
We completely classify all the twistor holomorphic Lagrangian immersions in the complex projective plane ℂℙ2, i.e. those Lagrangian immersions such that their twistor lifts to the twistor space over ℂℙ2 are holomorphic. This classification provides a one-parameter family of examples of Lagrangian spheres in ℂℙ2.
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Research partially supported by a DGICYT grant No. PB91-0731.
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Castro, I., Urbano, F. Twistor holomorphic Lagrangian surfaces in the complex projective and hyperbolic planes. Ann Glob Anal Geom 13, 59–67 (1995). https://doi.org/10.1007/BF00774568
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DOI: https://doi.org/10.1007/BF00774568