Surfaces in four-dimensional hyperkähler manifolds whose twistor lifts are harmonic sections

DOI10.1090/S0002-9939-2010-10657-3zbMath1219.53059WikidataQ126123114 ScholiaQ126123114MaRDI QIDQ3082300

Kazuyuki Hasegawa

Publication date: 10 March 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Euler characteristicscalar curvatureEinstein manifoldsuperminimal surfacetwistor liftHopf' s theorem

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Harmonic maps, etc. (58E20)

Related Items (3)

On the moduli space of isometric surfaces with the same mean curvature in 4-dimensional space forms ⋮ A note on Lagrangian submanifolds of twistor spaces and their relation to superminimal surfaces ⋮ Surfaces in self-dual Einstein manifolds and their twistor lifts

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