7 citations · 33 across the 23 of their papers we have counts for
7 papers · 1 filter
Complexity of holomorphic maps from the complex unit ball to classical domains
Ming Xiao, Yuan Yuan
We study the complexity of holomorphic isometries and proper maps from the complex unit ball to type IV classical domains. We investigate on degree estimates of holomorphic isometr…
Regularity of CR-mappings into Levi-degenerate hypersurfaces
Ilya Kossovskiy, Bernhard Lamel, Ming Xiao
We provide regularity results for CR-maps between real hypersurfaces in complex spaces of different dimension with a Levi-degenerate target. We address both the real-analytic and t…
Proper holomorphic maps from the unit disk to some unit ball
John P. D'Angelo, Zhenghui Huo, Ming Xiao
We study proper rational maps from the unit disk to balls in higher dimensions. After gathering some known results, we study the moduli space of unitary equivalence classes of poly…
Chern-Moser-Weyl Tensor and Embeddings into Hyperquadrics
Xiaojun Huang, Ming Xiao
The first part of the article surveys some work on the Chern-Moser-Weyl tensor and its application in the embeddability problem into hyperquadrics. In the last section, we give a n…
Holomorphic maps from the complex unit ball to Type IV classical domains
Ming Xiao, Yuan Yuan
We prove rigidity results for holomorphic proper maps from the complex unit ball to the Type IV bounded symmetric domain where $n \geq 4, n+1\leq m \leq 2…
Bergman-Einstein metrics, hyperbolic metrics and Stein spaces with spherical boundaries
Xiaojun Huang, Ming Xiao
In this new version, we give an affirmative solution to a conjecture of Cheng proposed in 1979 which asserts that the Bergman metric of a smoothly bounded strongly pseudoconvex dom…
Volume-preserving maps between Hermitian symmetric spaces of compact type
Hanlong Fang, Xiaojun Huang, Ming Xiao
In this paper, we establish the rigidity result for local holomorphic volume preserving maps from an irreducible Hermitian manifold of compact type into its Cartesian products.