Structure of minimal 2-spheres of constant curvature in the complex hyperquadric

نویسندگان

چکیده

In this paper, the singular-value decomposition theory of complex matrices is explored to study constantly curved 2-spheres minimal in both CPn and hyperquadric CPn. The moduli space all those noncongruent ones introduced, which can be described by certain symmetric modulo an appropriate group action. Using description, many examples, such as holomorphic higher degree, nonhomogenous constant curvature, etc., are constructed. Uniqueness proven for totally real 2-sphere

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2021

ISSN: ['1857-8365', '1857-8438']

DOI: https://doi.org/10.1016/j.aim.2021.107967