Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Normal pseudoholomorphic curves

100%

Haggui F., Khalfallah A.

Annales Polonici Mathematici

2011

tom 101

nr 1

55-65

First, we give some characterizations of J-hyperbolic points for almost complex manifolds. We apply these characterizations to show that the hyperbolic embeddedness of an almost complex submanifold follows from relative compactness of certain spaces of continuous extensions of pseudoholomorphic curves defined on the punctured unit disc. Next, we define uniformly normal families of pseudoholomorphic curves. We prove extension-convergence theorems for these families similar to those obtained by Kobayashi, Kiernan and Joseph-Kwack in the standard complex case.

Some characterizations of hyperbolic almost complex manifolds

100%

Haggui F., Khalfallah A.

Annales Polonici Mathematici

2010

tom 97

nr 2

159-168

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.

Ograniczanie wyników

2 Annales Polonici Mathematici

2 Haggui F.

2 Khalfallah A.

1 2011

1 2010

Wyniki wyszukiwania

Normal pseudoholomorphic curves

Some characterizations of hyperbolic almost complex manifolds