On surfaces whose twistor lifts are harmonic sections

DOI10.1016/J.GEOMPHYS.2007.01.004zbMath1148.53036OpenAlexW2011282381MaRDI QIDQ933664

Kazuyuki Hasegawa

Publication date: 24 July 2008

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2007.01.004

zbMATH Keywords

twistor spaceharmonic sectiontwistor lifttwistor holomorphic surfacevertical energysphere bundles.

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Twistor methods in differential geometry (53C28) Harmonic maps, etc. (58E20)

Related Items (8)

Stability of twistor lifts for surfaces in four-dimensional manifolds as harmonic sections ⋮ Bonnet and isotropically isothermic surfaces in 4-dimensional space forms ⋮ An inclusive immersion into a quaternionic manifold and its invariants ⋮ On the moduli space of isometric surfaces with the same mean curvature in 4-dimensional space forms ⋮ The first Chern class and conformal area for a twistor holomorphic immersion ⋮ Surfaces in self-dual Einstein manifolds and their twistor lifts ⋮ Surfaces in four-dimensional hyperkähler manifolds whose twistor lifts are harmonic sections ⋮ Twistors, 4-symmetric spaces and integrable systems

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