Moduli of Einstein-Hermitian harmonic mappings of the projective line into quadrics

DOI10.1007/S10455-017-9585-XzbMath1393.53021arXiv1705.06545OpenAlexW2615807078MaRDI QIDQ1647723

Yasuyuki Nagatomo, Óscar Maciá

Publication date: 26 June 2018

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06545

zbMATH Keywords

moduli spaceharmonic mappingcomplex hyperquadriccomplex projective lineGrassmannian manifoldEinstein-Hermitian connection

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Harmonic maps, etc. (58E20)

Related Items (5)

Holomorphic isometric embeddings of the projective space into quadrics ⋮ Curvature invariants of equivariant isometric minimal immersions into Grassmannian manifolds ⋮ A characterization of homogeneous totally real minimal two-spheres in a complex hyperquadric ⋮ Holomorphic isometric embeddings of the projective line into quadrics ⋮ Holomorphic isometric embeddings of the complex two-plane Grassmannian into quadrics

Cites Work

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• A study of submanifolds of the complex Grassmannian manifold with parallel second fundamental form
• Totally real minimal surfaces in the complex hyperquadrics
• On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
• Holomorphic isometric embeddings of the projective line into quadrics
• Minimal immersions of spheres into spheres
• Isometric imbedding of complex manifolds
• Minimal Surfaces by Moving Frames
• A Report on Harmonic Maps
• On Totally Real Submanifolds
• The Tension Field of the Gauss Map

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