Normal pseudoholomorphic curves

Fathi Haggui; Adel Khalfallah

Displaying similar documents to “Normal pseudoholomorphic curves”

On continuous solutions to linear hyperbolic systems

Małgorzata Zdanowicz, Zbigniew Peradzyński (2005)

Annales Polonici Mathematici

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We study the conditions under which the Cauchy problem for a linear hyperbolic system of partial differential equations of the first order in two independent variables has a unique continuous solution (not necessarily Lipschitz continuous). In addition to obvious continuity assumptions on coefficients and initial data, the sufficient conditions are the bounded variation of the left eigenvectors along the characteristic curves.

Some characterizations of hyperbolic almost complex manifolds

Fathi Haggui, Adel Khalfallah (2010)

Annales Polonici Mathematici

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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.

Curves and surfaces in hyperbolic space

Shyuichi Izumiya, Donghe Pei, Masatomo Takahashi (2004)

Banach Center Publications

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In the first part (Sections 2 and 3), we give a survey of the recent results on application of singularity theory for curves and surfaces in hyperbolic space. After that we define the hyperbolic canal surface of a hyperbolic space curve and apply the results of the first part to get some geometric relations between the hyperbolic canal surface and the centre curve.