Orthogonal pair and a rigidity problem for Segre maps between hyperquadrics
Complex Variables
2021-10-25 v2
Abstract
Being motivated by the orthogonal maps studied in \cite{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 related to Heisenberg hypersurfaces obtained by Zhang in \cite{Zh}.
Cite
@article{arxiv.2109.09340,
title = {Orthogonal pair and a rigidity problem for Segre maps between hyperquadrics},
author = {Yun Gao},
journal= {arXiv preprint arXiv:2109.09340},
year = {2021}
}