74 citations · 189 across the 36 of their papers we have counts for
7 papers · 1 filter
A High-Rank Gap Theorem for Type-I Bounded Symmetric Domains
Yun Gao
Let and be Type-I bounded symmetric domains with and . Let be holomorphic, where , and s…
Gap phenomenon of holomorphic maps between Shilov boundaries of type-I bounded symmetric domains
Yun Gao
Motivated by the gap phenomenon for proper holomorphic maps between complex unit balls, this paper investigates smooth CR maps from an open piece of the Shilov boundary of…
On the rank of Hermitian polynomials and the SOS Conjecture
Yun Gao, Sui-Chung Ng
Let and be its Euclidean norm. Ebenfelt proposed a conjecture regarding the possible ranks of the Hermitian polynomials in of the form $A(z,\ba…
Orthogonal pair and a rigidity problem for Segre maps between hyperquadrics
Yun Gao
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 a…
Local orthogonal maps and rigidity of holomorphic mappings between real hyperquadrics
Yun Gao, Sui-Chung Ng
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 n…
A hyperplane restriction theorem for holomorphic mappings and its application for the gap conjecture
Yun Gao, Sui-Chung Ng
We established a hyperplane restriction theorem for the local holomorphic mappings between projective spaces, which is inspired by the corresponding theorem of Green for homogeneou…