A characterization of regular saddle surfaces in the hyperbolic and spherical three-space.
Kalikakis, Dimitrios E. (2002)
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Kalikakis, Dimitrios E. (2002)
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Ricardo Sa Earp, Eric Toubiana (2000-2001)
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Li Haizhong (1997)
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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.
Aigon-Dupuy, Aline (2004)
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Kentaro Saji, Handan Yıldırım (2015)
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We consider surfaces in hyperbolic 3-space and their duals. We study flat dual surfaces in hyperbolic 3-space by using extended Legendrian dualities between pseudo-hyperspheres in Lorentz-Minkowski 4-space. We define the flatness of a surface in hyperbolic 3-space by the degeneracy of its dual, which is similar to the case of the Gauss map of a surface in Euclidean 3-space. Such surfaces are a kind of ruled surfaces. Moreover, we investigate the singularities of these surfaces and the...
Georgi Ganchev, Velichka Milousheva (2014)
Open Mathematics
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In the four-dimensional pseudo-Euclidean space with neutral metric there are three types of rotational surfaces with two-dimensional axis - rotational surfaces of elliptic, hyperbolic or parabolic type. A surface whose mean curvature vector field is lightlike is said to be quasi-minimal. In this paper we classify all rotational quasi-minimal surfaces of elliptic, hyperbolic and parabolic type, respectively.
J. Aramayona (2006)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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