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复 Grassmann 流形中拼挤常曲率全纯球面的分类

Translated title of the contribution: Classification of pinched constantly curved holomorphic two-spheres in the complex Grassmann manifolds
  • Jie Fei
  • , Xiaoxiang Jiao
  • , Jun Wang*
    • *Corresponding author for this work

    Research output: Contribution to journal › Article › peer-review

    1 Citation (Scopus)

    Abstract

    In this paper, we propose a formation mechanism named “the direct sum of foundation stones” about pinched constantly curved holomorphic two-spheres (write “PCCH S2” briefly) in the complex Grassmann manifolds G(k,N), and we completely classify the non-degenerated PCCH S2 in G(4,8).

    Translated title of the contributionClassification of pinched constantly curved holomorphic two-spheres in the complex Grassmann manifolds
    Original languageChinese (Traditional)
    Pages (from-to)49-66
    Number of pages18
    JournalScientia Sinica Mathematica
    Volume55
    Issue number1
    DOIs
    Publication statusPublished - 1 Jan 2025

    Keywords

    • constant Gaussian curvature
    • holomorphic two-spheres
    • pinched
    • the complex Grassmann manifolds

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