Surfaces in self-dual Einstein manifolds and their twistor lifts

DOI10.1016/j.difgeo.2011.04.044zbMath1225.53059OpenAlexW2038469412WikidataQ115356835 ScholiaQ115356835MaRDI QIDQ719846

Kazuyuki Hasegawa

Publication date: 12 October 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://kanazawa-u.repo.nii.ac.jp/?action=repository_action_common_download&item_id=987&item_no=1&attribute_id=26&file_no=1

zbMATH Keywords

twistor spaceharmonic sectiontwistor lifttwistor holomorphic surface

Mathematics Subject Classification ID

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

Cites Work

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• Stability of twistor lifts for surfaces in four-dimensional manifolds as harmonic sections
• On surfaces whose twistor lifts are harmonic sections
• Twistors, 4-symmetric spaces and integrable systems
• On surfaces in four-spaces
• Conformal and minimal immersions of compact surfaces into the 4-sphere
• Harmonic sections normal to submanifolds and their stability
• Twistor holomorphic Lagrangian surfaces in the complex projective and hyperbolic planes
• The energy of Hopf vector fields
• Constant Gaussian curvature surfaces with parallel mean curvature vector in two-dimensional complex space forms
• Surfaces in four-dimensional hyperkähler manifolds whose twistor lifts are harmonic sections
• Self-duality in four-dimensional Riemannian geometry
• The Tension Field of the Gauss Map
• The energy of unit vector fields on the 3-sphere

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