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.
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页码：947 / 962
页数：16
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