The lifts of surfaces in neutral 4-manifolds into the 2-Grassmann bundles

DOI10.1016/j.difgeo.2023.102073OpenAlexW4388643878MaRDI QIDQ6123251

Naoya Ando

Publication date: 4 March 2024

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2023.102073

zbMATH Keywords

Gauss maptwistor liftzero mean curvature vector(para)complex quartic differentiallight-like or zero covariant derivativeneutral hyperKähler 4-manifold

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Twistor methods in differential geometry (53C28) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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