Horizontality in the twistor spaces associated with vector bundles of rank 4 on tori

DOI10.1007/s00022-021-00583-6zbMath1473.53075OpenAlexW3157525415MaRDI QIDQ2044461

Takumu Kihara, Naoya Ando

Publication date: 9 August 2021

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

Full work available at URL: https://doi.org/10.1007/s00022-021-00583-6

zbMATH Keywords

twistor spaceKähler structurehorizontalitynormal polygonal curve

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Twistor methods in differential geometry (53C28) Fiber bundles in algebraic topology (55R10)

Related Items (2)

The lifts of surfaces in neutral 4-manifolds into the 2-Grassmann bundles ⋮ Nilpotent structures of neutral 4-manifolds and light-like surfaces

Cites Work

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• On surfaces in four-spaces
• Conformal and minimal immersions of compact surfaces into the 4-sphere
• Surfaces with zero mean curvature vector in neutral 4-manifolds
• Hyperbolic twistor space
• Extremal Lorentzian surfaces with null \(r\)-planar geodesics in space forms

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