HIGHER-GENUS MEAN CURVATURE-ONE CATENOIDS IN HYPERBOLIC AND DE SITTER 3-SPACES
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概要
- 論文の詳細を見る
We show the existence of constant mean curvature-one surfaces in both hyperbolic 3-space and de Sitter 3-space with two complete embedded ends and any positive genus up to genus twenty. We also find another such family of surfaces in de Sitter 3-space, but with a different non-embedded end behavior.
- Faculty of Mathematics, Kyushu Universityの論文
著者
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Rossman Wayne
Department Of Mathematics Faculty Of Science Kobe University
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Fujimori Shoichi
Department Of Mathematics Fukuoka University Of Education
関連論文
- Nonorientable maximal surfaces in the Lorentz-Minkowski 3-space
- Lower bounds for index of Wente tori
- Asymptotic behavior of flat surfaces in hyperbolic 3-space
- Flat fronts in hyperbolic 3-space and their caustics
- Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature I
- Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature II
- Irreducible constant mean curvature 1 surfaces in hyperbolic space with positive genus
- On embeddedness of area-minimizing disks, and an application to constructing complete minimal surfaces
- HIGHER-GENUS MEAN CURVATURE-ONE CATENOIDS IN HYPERBOLIC AND DE SITTER 3-SPACES
- Discrete surfaces of constant mean curvature (Development in Differential Geometry of Submanifolds)