Hyperbolic embeddedness and extension-convergence theorems of J-holomorphic curves

Fathi Haggui; Adel Khalfallah

doi:10.1007/s00209-008-0378-6

Hyperbolic embeddedness and extension-convergence theorems of J-holomorphic curves

Fathi Haggui
, Adel Khalfallah^*

^*Corresponding author for this work

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

4 Scopus citations

Abstract

First, we give some characterization of hyperbolic embeddedness in the almost complex case. Next, we study the stability of hyperbolically embedded manifolds under a small perturbation of almost complex structures. Finally, we obtain generalizations and extensions of theorems of Kobayashi, Kiernan, Kwack and Noguchi for almost complex manifolds.

Original language	English
Pages (from-to)	363-379
Number of pages	17
Journal	Mathematische Zeitschrift
Volume	262
Issue number	2
DOIs	https://doi.org/10.1007/s00209-008-0378-6
State	Published - Jun 2009
Externally published	Yes

Keywords

Almost complex manifolds
Hyperbolic embedding
Pseudoholomorphic curves

ASJC Scopus subject areas

General Mathematics

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10.1007/s00209-008-0378-6

Cite this

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title = "Hyperbolic embeddedness and extension-convergence theorems of J-holomorphic curves",

abstract = "First, we give some characterization of hyperbolic embeddedness in the almost complex case. Next, we study the stability of hyperbolically embedded manifolds under a small perturbation of almost complex structures. Finally, we obtain generalizations and extensions of theorems of Kobayashi, Kiernan, Kwack and Noguchi for almost complex manifolds.",

keywords = "Almost complex manifolds, Hyperbolic embedding, Pseudoholomorphic curves",

author = "Fathi Haggui and Adel Khalfallah",

year = "2009",

month = jun,

doi = "10.1007/s00209-008-0378-6",

language = "English",

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T1 - Hyperbolic embeddedness and extension-convergence theorems of J-holomorphic curves

AU - Haggui, Fathi

AU - Khalfallah, Adel

PY - 2009/6

Y1 - 2009/6

N2 - First, we give some characterization of hyperbolic embeddedness in the almost complex case. Next, we study the stability of hyperbolically embedded manifolds under a small perturbation of almost complex structures. Finally, we obtain generalizations and extensions of theorems of Kobayashi, Kiernan, Kwack and Noguchi for almost complex manifolds.

AB - First, we give some characterization of hyperbolic embeddedness in the almost complex case. Next, we study the stability of hyperbolically embedded manifolds under a small perturbation of almost complex structures. Finally, we obtain generalizations and extensions of theorems of Kobayashi, Kiernan, Kwack and Noguchi for almost complex manifolds.

KW - Almost complex manifolds

KW - Hyperbolic embedding

KW - Pseudoholomorphic curves

UR - https://www.scopus.com/pages/publications/67349142166

U2 - 10.1007/s00209-008-0378-6

DO - 10.1007/s00209-008-0378-6

M3 - Article

AN - SCOPUS:67349142166

SN - 0025-5874

VL - 262

SP - 363

EP - 379

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 2

ER -

Hyperbolic embeddedness and extension-convergence theorems of J-holomorphic curves

Abstract

Keywords

ASJC Scopus subject areas

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