9 citations · 12 across the 5 of their papers we have counts for
5 papers
D'Angelo conjecture in the third gap interval
Shanyu Ji, Wanke Yin
We show the D'Angelo conjecture holds in the third gap interval. More precisely, we prove that the degree of any rational proper holomorphic map from to $\mathbb{B}^…
CR and Holomorphic Embeddings and Pseudo-conformally Flat Metrics
Xiaojun Huang, Shanyu Ji, Brandon Lee
We study the non-embddability property for a class of real hypersurfaces, called real hypersurfaces of involution type, into the sphere in the low codimensional case, by making use…
On the Third Gap for Proper Holomorphic Maps between Balls
Xiaojun Huang, Shanyu Ji, Wanke Yin
In this paper, we study the gap rigidity phenomenon for proper holomorphic maps between balls of different dimension. We show that any $F\in prop_3({\mathbb{B}}^n, {\mathbb{B}} ^N)…
Flatness of CR Submanifolds in a Sphere
Shanyu Ji, Yuan Yuan
Let be the image of a smooth CR embedding of a strictly pseudoconvex CR real hypersurface into a sphere. If the CR second fundamental form of vanishes, we show that is…
A criterion for a proper rational map to be equivalent to a proper polynomial map
Xiaojun Huang, Shanyu Ji, Yuan Zhang
In this paper, we give an explicit criterion when a rational holomorphic map between balls is equivalent to a polynomial holomorphic map. Making use of this criterion, we show that…