Pseudoholomorphic mappings and Kobayashi hyperbolicity

被引：21

作者：

Kruglikov, BS

Overholt, M

机构：

[1] Moscow State Univ, Math Modelling Chair, Moscow, Russia

[2] Univ Tromso, Dept Math & Stat, N-9037 Tromso, Norway

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1999年 / 11卷 / 03期

关键词：

almost complex structure; Kobayashi distance;

D O I：

10.1016/S0926-2245(99)00040-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend the definition of the Kobayashi pseudodistance to almost complex manifolds and show that its familiar properties are for the most part preserved. We also study the automorphism group of an almost complex manifold. We give special consideration to almost complex structures tamed by some symplectic form. The notions and pseudoholomorphic curves involved are illustrated in some examples.

引用

页码：265 / 277

页数：13

共 50 条

[21] Sufficient Condition for the Hyperbolicity of Mappings of the Torus
Kolesov, A. Yu.
Rozov, N. Kh.
Sadovnichii, V. A.
DIFFERENTIAL EQUATIONS, 2017, 53 (04) : 457 - 478
[22] Hyperbolicity of renormalization for dissipative gap mappings
Clark, Trevor
Gouveia, Marcio
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2022, 42 (10) : 3069 - 3110
[23] Gromov hyperbolicity and the Kobayashi metric on convex domains of finite type
Andrew M. Zimmer
Mathematische Annalen, 2016, 365 : 1425 - 1498
[24] GROMOV HYPERBOLICITY, THE KOBAYASHI METRIC, AND C-CONVEX SETS
Zimmer, Andrew M.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369 (12) : 8437 - 8456
[25] Gromov hyperbolicity and the Kobayashi metric on convex domains of finite type
Zimmer, Andrew M.
MATHEMATISCHE ANNALEN, 2016, 365 (3-4) : 1425 - 1498
[26] LOCAL AND GLOBAL VISIBILITY AND GROMOV HYPERBOLICITY OF DOMAINS WITH RESPECT TO THE KOBAYASHI DISTANCE
Bracci, Filippo
Gaussier, Herve
Nikolov, Nikolai
Thomas, Pascal J.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, : 471 - 493
[27] The Kobayashi metric, extremal discs, and biholomorphic mappings
Krantz, Steven G.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2012, 57 (01) : 1 - 14
[28] On the energy of quasiconformal mappings and pseudoholomorphic curves in complex projective spaces
Gaussier, Herve
Tsukamoto, Masaki
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2022, 74 (02) : 427 - 446
[29] Global hyperbolicity of renormalization for Cr unimodal mappings
De Faria, Edson
De Melo, Welington
Pinto, Alberto
ANNALS OF MATHEMATICS, 2006, 164 (03) : 731 - 824
[30] Estimates of the Kobayashi metric and Gromov hyperbolicity on convex domains of finite type
Wang, Hongyu
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2024, 110 (02):

← 1 2 3 4 5 →