A characterization of regular saddle surfaces in the hyperbolic and spherical three-space.
Kalikakis, Dimitrios E. (2002)
Abstract and Applied Analysis
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Displaying similar documents to “The flux homomorphism on closed hyperbolic surfaces and Anti-de Sitter three-dimensional geometry”
A characterization of regular saddle surfaces in the hyperbolic and spherical three-space.
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Rossman, Wayne, Sato, Katsunori (1998)
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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.
Half-twists and equations in genus 2.
Aigon-Dupuy, Aline (2004)
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Large embedded balls and Heegaard genus in negative curvature.
Bachman, David, Cooper, Daryl, White, Matthew E. (2004)
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On the Infinite Loch Ness monster
John A. Arredondo, Camilo Ramírez Maluendas (2017)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we introduce the topological surface called {Infinite Loch Ness monster}, discussing how this name has evolved and how it has been historically understood. We give two constructions of this surface, one of them having translation structure and the other hyperbolic structure.
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Ricardo Sa Earp, Eric Toubiana (2000-2001)
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Some recent developments in the theory of properly embedded minimal surfaces in
Harold Rosenberg (1991-1992)
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Heegaard gradient and virtual fibers.
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Legendrian dual surfaces in hyperbolic 3-space
Kentaro Saji, Handan Yıldırım (2015)
Annales Polonici Mathematici
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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...
Quasi-minimal rotational surfaces in pseudo-Euclidean four-dimensional space
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.