Some characterizations of hyperbolic almost complex manifolds

Fathi Haggui; Adel Khalfallah

doi:10.4064/ap97-2-5

Some characterizations of hyperbolic almost complex manifolds

Fathi Haggui^*
, Adel Khalfallah

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

First, we give some characterizations of the Kobayashi hyperbolicity of almost complex manifolds. Next, we show that a compact almost complex manifold is hyperbolic if and only if it has the Δ*-extension property. Finally, we investigate extensionconvergence theorems for pseudoholomorphic maps with values in pseudoconvex domains.

Original language	English
Pages (from-to)	159-168
Number of pages	10
Journal	Annales Polonici Mathematici
Volume	97
Issue number	2
DOIs	https://doi.org/10.4064/ap97-2-5
State	Published - 2010
Externally published	Yes

Keywords

Almost complex manifolds
Kobayashi hyperbolic manifolds
Pseudoholomorphic curves

ASJC Scopus subject areas

General Mathematics

Access to Document

10.4064/ap97-2-5

Cite this

@article{63a0efd07c3440e7859e81edceae10c8,

title = "Some characterizations of hyperbolic almost complex manifolds",

abstract = "First, we give some characterizations of the Kobayashi hyperbolicity of almost complex manifolds. Next, we show that a compact almost complex manifold is hyperbolic if and only if it has the Δ*-extension property. Finally, we investigate extensionconvergence theorems for pseudoholomorphic maps with values in pseudoconvex domains.",

keywords = "Almost complex manifolds, Kobayashi hyperbolic manifolds, Pseudoholomorphic curves",

author = "Fathi Haggui and Adel Khalfallah",

year = "2010",

doi = "10.4064/ap97-2-5",

language = "English",

volume = "97",

pages = "159--168",

journal = "Annales Polonici Mathematici",

issn = "0066-2216",

publisher = "Institute of Mathematics, Polish Academy of Sciences",

number = "2",

}

TY - JOUR

T1 - Some characterizations of hyperbolic almost complex manifolds

AU - Haggui, Fathi

AU - Khalfallah, Adel

PY - 2010

Y1 - 2010

N2 - First, we give some characterizations of the Kobayashi hyperbolicity of almost complex manifolds. Next, we show that a compact almost complex manifold is hyperbolic if and only if it has the Δ*-extension property. Finally, we investigate extensionconvergence theorems for pseudoholomorphic maps with values in pseudoconvex domains.

AB - First, we give some characterizations of the Kobayashi hyperbolicity of almost complex manifolds. Next, we show that a compact almost complex manifold is hyperbolic if and only if it has the Δ*-extension property. Finally, we investigate extensionconvergence theorems for pseudoholomorphic maps with values in pseudoconvex domains.

KW - Almost complex manifolds

KW - Kobayashi hyperbolic manifolds

KW - Pseudoholomorphic curves

UR - https://www.scopus.com/pages/publications/83655182440

U2 - 10.4064/ap97-2-5

DO - 10.4064/ap97-2-5

M3 - Article

AN - SCOPUS:83655182440

SN - 0066-2216

VL - 97

SP - 159

EP - 168

JO - Annales Polonici Mathematici

JF - Annales Polonici Mathematici

IS - 2

ER -

Some characterizations of hyperbolic almost complex manifolds

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this