English

Constantly curved holomorphic two-spheres in the complex Grassmannian G(2,6) with constant square norm of the second fundamental form

Differential Geometry 2024-10-16 v2

Abstract

We completely classify all noncongruent linearly full totally unramified constantly curved holomorphic two-spheres in G(2,6) with constant square norm of the second fundamental form. They turn out to be homogeneous.

Keywords

Cite

@article{arxiv.2408.12858,
  title  = {Constantly curved holomorphic two-spheres in the complex Grassmannian G(2,6) with constant square norm of the second fundamental form},
  author = {Jie Fei and Ling He and Jun Wang},
  journal= {arXiv preprint arXiv:2408.12858},
  year   = {2024}
}

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24 pages