Evolution families and the Loewner equation II: complex hyperbolic manifolds

被引：62

作者：

Bracci, Filippo ^{[1
]}

Contreras, Manuel D. ^{[2
]}

Diaz-Madrigal, Santiago ^{[2
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy

[2] Univ Seville, Escuela Tecn Super Ingn, Dept Matemat Aplicada 2, Seville 41092, Spain

来源：

MATHEMATISCHE ANNALEN | 2009年 / 344卷 / 04期

关键词：

HOLOMORPHIC MAPS;

D O I：

10.1007/s00208-009-0340-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that evolution families on complex complete hyperbolic manifolds are in one to one correspondence with certain semicomplete non-autonomous holomorphic vector fields, providing the solution to a very general Loewner type differential equation on manifolds.

引用

页码：947 / 962

页数：16

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