Plane curves with hyperbolic and -hyperbolic complements
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Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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G. Dethloff, M. Zaidenberg (1996)
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Shyuichi Izumiya, Donghe Pei, Masatomo Takahashi (2004)
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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.
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Jens Piontkowski (1996)
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Ilija Knezević, Radmila Sazdanović, Srdjan Vukmirović (2002)
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Takao Kato, Marc Coppens (1991)
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Fathi Haggui, Adel Khalfallah (2011)
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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...
Andrew Balas (1987)
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Scott Nollet (1997)
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