# Orthogonal pair and a rigidity problem for Segre maps between hyperquadrics

@inproceedings{Gao2021OrthogonalPA, title={Orthogonal pair and a rigidity problem for Segre maps between hyperquadrics}, author={Yung Gao}, year={2021} }

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…

## 2 Citations

Local orthogonal maps and rigidity of holomorphic mappings between real hyperquadrics

- Mathematics
- 2021

We introduced a new coordinate-free approach to study the Cauchy-Riemann (CR) maps between the real hyperquadrics in the complex projective space. The central theme is based on a notion of…

On the rank of Hermitian polynomials and the SOS Conjecture

- Mathematics
- 2021

Let z ∈ C and ‖z‖ be its Euclidean norm. Ebenfelt proposed a conjecture regarding the possible ranks of the Hermitian polynomials in z, z̄ of the form A(z, z̄)‖z‖2, known as the SOS Conjecture, where…

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