Some characterizations of hyperbolic almost complex manifolds

Fathi Haggui; Adel Khalfallah

Annales Polonici Mathematici (2010)

  • Volume: 97, Issue: 2, page 159-168
  • ISSN: 0066-2216

Abstract

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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 extension-convergence theorems for pseudoholomorphic maps with values in pseudoconvex domains.

How to cite

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Fathi Haggui, and Adel Khalfallah. "Some characterizations of hyperbolic almost complex manifolds." Annales Polonici Mathematici 97.2 (2010): 159-168. <http://eudml.org/doc/280951>.

@article{FathiHaggui2010,
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 extension-convergence theorems for pseudoholomorphic maps with values in pseudoconvex domains.},
author = {Fathi Haggui, Adel Khalfallah},
journal = {Annales Polonici Mathematici},
keywords = {Kobayashi hyperbolic almost complex manifolds; Landau property; -extension property; extension and convergence of holomorphic maps},
language = {eng},
number = {2},
pages = {159-168},
title = {Some characterizations of hyperbolic almost complex manifolds},
url = {http://eudml.org/doc/280951},
volume = {97},
year = {2010},
}

TY - JOUR
AU - Fathi Haggui
AU - Adel Khalfallah
TI - Some characterizations of hyperbolic almost complex manifolds
JO - Annales Polonici Mathematici
PY - 2010
VL - 97
IS - 2
SP - 159
EP - 168
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 extension-convergence theorems for pseudoholomorphic maps with values in pseudoconvex domains.
LA - eng
KW - Kobayashi hyperbolic almost complex manifolds; Landau property; -extension property; extension and convergence of holomorphic maps
UR - http://eudml.org/doc/280951
ER -

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