7 papers · 1 filter
Intermediate Pseudoconvexity of Fiber Bundles
Masanori Adachi, Seungjae Lee, Aeryeong Seo
In this paper, we investigate the pseudoconvexity of locally trivial holomorphic ball bundles over compact Riemann surfaces of genus , as well as the intermediate pseudocon…
Symmetric differentials and jets extension of holomorphic functions II: Explicit form
Seungjae Lee, Aeryeong Seo
For a symmetric differential on the compact quotient of the complex unit ball by a discrete subgroup $Γ\subset \mathrm{Aut…
A characterization of the unit ball by a Kähler-Einstein potential
Young-Jun Choi, Kang-Hyurk Lee, Aeryeong Seo
We will show that a universal covering of a compact Kähler manifold with ample canonical bundle is the unit ball if it admits a global potential function of the Kähler-Einstein met…
Totally geodesic discs in bounded symmetric domains
Sung-Yeon Kim, Aeryeong Seo
In this paper, we characterize -smooth totally geodesic isometric embeddings between bounded symmetric domains and which extend -smoothly over s…
Symmetric differentials and jets extension of holomorphic functions
Seungjae Lee, Aeryeong Seo
Let be a complex hyperbolic space with discrete subgroup of the automorphism group of the unit ball and be a quotient of $\mathbb B^n \time…
Generalizations of linear fractional maps for classical symmetric domains and related fixed point theorems for generalized balls
Yun Gao, Sui-Chung Ng, Aeryeong Seo
We extended the study of the linear fractional self maps (e.g. by Cowen-MacCluer and Bisi-Bracci on the unit balls) to a much more general class of domains, called generalized type…