On the Gromov hyperbolicity of the Kobayashi metric on strictly pseudoconvex regions in the almost complex case

被引：5

作者：

Blanc-Centi, Lea ^{[1
]}

机构：

[1] UMPA, ENS Lyon, F-69007 Lyon, France

来源：

MATHEMATISCHE ZEITSCHRIFT | 2009年 / 263卷 / 03期

关键词：

Kobayashi metric; Gromov hyperbolicity; Almost complex manifolds; MANIFOLDS;

D O I：

10.1007/s00209-008-0428-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every bounded strictly J-convex region equipped with the Kobayashi metric is hyperbolic in the sense of Gromov. We give various consequences of this fact, in particular concerning the dynamics of pseudo-holomorphic maps.

引用

页码：481 / 498

页数：18

共 17 条

[1] On the Gromov hyperbolicity of the Kobayashi metric on strictly pseudoconvex regions in the almost complex case
Léa Blanc-Centi
[J]. Mathematische Zeitschrift, 2009, 263 : 481 - 498
[2] Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains
Balogh, ZM
Bonk, M
[J]. COMMENTARII MATHEMATICI HELVETICI, 2000, 75 (03) : 504 - 533
[3] GROMOV HYPERBOLICITY OF STRONGLY PSEUDOCONVEX ALMOST COMPLEX MANIFOLDS
Bertrand, Florian
Gaussier, Herve
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143 (09) : 3901 - 3913
[4] The Kobayashi Metric and Gromov Hyperbolicity on Pseudoconvex Domains of Finite Type in C2
Li, Haichou
Pu, Xingsi
Wang, Lang
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2024, 34 (01)
[5] Sharp estimates of the Kobayashi metric and Gromov hyperbolicity
Bertrand, Florian
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (02) : 825 - 844
[6] GROMOV HYPERBOLICITY, THE KOBAYASHI METRIC, AND C-CONVEX SETS
Zimmer, Andrew M.
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369 (12) : 8437 - 8456
[7] Gromov hyperbolicity and the Kobayashi metric on convex domains of finite type
Andrew M. Zimmer
[J]. Mathematische Annalen, 2016, 365 : 1425 - 1498
[8] Gromov hyperbolicity of the Kobayashi metric on C-convex domains
Nikolov, Nikolai
Trybula, Maria
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 468 (02) : 1164 - 1178
[9] On Kobayashi hyperbolicity of almost complex manifolds
Anh, KQ
Thai, DD
[J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON ABSTRACT AND APPLIED ANALYSIS, 2004, : 3 - 14
[10] Gromov hyperbolicity and the Kobayashi metric on convex domains of finite type
Zimmer, Andrew M.
[J]. MATHEMATISCHE ANNALEN, 2016, 365 (3-4) : 1425 - 1498

← 1 2 →