Complex Variables Functions. - The stars at infinity in several complex variables

被引：0

作者：

Karlsson, Anders ^{[1
,2
]}

机构：

[1] Univ Geneva, Dept Math, Case Postale 64, CH-1211 Geneva, Switzerland

[2] Uppsala Univ, Dept Math, Box 256, Uppsala, Sweden

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2024年 / 35卷 / 01期

基金：

瑞典研究理事会;

关键词：

Kobayashi pseudo-metric; Denjoy-Wolff theorems; Teichmuller spaces; Kahler geometry; random iterations;

D O I：

10.4171/RLM/1033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This text reviews certain notions in metric geometry that may have further applications to problems in complex geometry and holomorphic dynamics in several variables. The discussion contains a few new results and formulates a number of questions related to the asymptotic geometry and boundary estimates of bounded complex domains, boundary extensions of biholomorphisms, the dynamics of holomorphic self-maps, Teichmuller theory, and the existence of constant scalar curvature metrics on compact K & auml;hler manifolds.

引用

页码：49 / 75

页数：27

共 59 条

[41] A Metric Fixed Point Theorem and Some of Its Applications [J].