Equivariant holomorphic embeddings from the complex projective line into complex Grassmannian of 2-planes

zbMath1506.53030MaRDI QIDQ2159498

Isami Koga, Yasuyuki Nagatomo

Publication date: 1 August 2022

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/osaka-journal-of-mathematics/volume-59/issue-3/Equivariant-holomorphic-embeddings-from-the-complex-projective-line-into-complex/5446ojm.full

zbMATH Keywords

holomorphic vector bundleinvariant connectionholomorphic isometric embeddingcomplex Grassmannianequivariant holomorphic mapSU(2)-action

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Cites Work

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• Classification of minimal homogeneous two-spheres in the complex Grassmann manifold \(G(2, n)\)
• Isometric imbedding of complex manifolds

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