15 citations · 39 across the 23 of their papers we have counts for
24 papers
Topological invariants and Holomorphic Mappings
Robert E. Greene, Kang-Tae Kim, Nikolay V. Shcherbina
Invariants for Riemann surfaces covered by the disc and for hyperbolic manifolds in general involving minimizing the measure of the image over the homotopy and homology classes of…
Functions holomorphic along a pencil of holomorphic discs
Ye-Won Luke Cho, Kang-Tae Kim
The main purpose of this article is to present a generalization of Forelli's theorem for the functions holomorphic along a general pencil of holomorphic discs. This generalizes the…
Infinite dimensional holomorphic homogeneous regular domains
Cho-Ho Chu, Kang-Tae Kim, Sejun Kim
We extend the concept of a finite dimensional {\it holomorphic homogeneous regular} (HHR) domain and some of its properties to the infinite dimensional setting. In particular, we s…
Homogeneous almost complex manifolds and their compact quotients
Kang-Tae Kim, Kang-Hyurk Lee, Yoshikazu Nagata
The paper investigates the (non)existence of compact quotients, by a discrete subgroup, of the homogeneous almost-complex strongly-pseudoconvex manifolds disconvered and classified…
On boundary points at which the squeezing function tends to one
Seungro Joo, Kang-Tae Kim
J. E. Fornaess has posed the question whether the boundary point of smoothly bounded pseudoconvex domain is strictly pseudoconvex, if the asymptotic limit of the squeezing function…
The Riemann mapping theorem from Riemann's viewpoint
Robert E. Greene, Kang-Tae Kim
This article presents a clear proof of the Riemann Mapping Theorem via Riemann's method, uncompromised by any appeals to topological intuition.