6 papers
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…
Normal bundles of cycles in flag domains
Jaehyun Hong, Alan Huckleberry, Aeryeong Seo
A real semisimple Lie group G_0 embedded in its complexification G has only finitely many orbits in any G-fag manifold Z = G/Q. The complex geometry of its open orbits D (flag doma…
Biholomorphisms between Hartogs domains over homogeneous Siegel domains
Aeryeong Seo
In this paper, we characterize the Hartogs domains over homogeneous Siegel domains of type II and explicitly describe their automorphism groups. Moreover we prove that any proper h…