• Corpus ID: 237571390

Orthogonal pair and a rigidity problem for Segre maps between hyperquadrics

  title={Orthogonal pair and a rigidity problem for Segre maps between hyperquadrics},
  author={Yung Gao},
  • Yung Gao
  • Published 20 September 2021
  • Mathematics
Being motivated by the orthogonal maps studied in [GN1], orthogonal pairs between the projective spaces equipped with possibly degenerate Hermitian forms were introduced. In addition, orthogonal pairs are generalizations of holomorphic Segre maps between Segre families of real hyperquadrics. We showed that non-degenerate holomorphic orthogonal pairs also have certain rigidity properties under a necessary codimension restriction. As an application, we got a rigidity theorem for Segre maps… 
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