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On the index of constant mean curvature 1 surfaces in hyperbolic space

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Publication:4221432
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zbMath0924.53040arXiv0806.4666MaRDI QIDQ4221432

Levi Lopes de Lima, Wayne Rossman

Publication date: 15 November 1999

Full work available at URL: https://arxiv.org/abs/0806.4666


zbMATH Keywords

indexhyperbolic 3-spaceCMC-1 surface


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)


Related Items (8)

Minimal hypersurfaces in \(\mathbb {H}^n \times \mathbb {R}\), total curvature and index ⋮ Meromorphic data for mean curvature one surfaces in hyperbolic three-space ⋮ New constant mean curvature surfaces in the hyperbolic space ⋮ Ribaucour transformations for flat surfaces in the hyperbolic 3-space ⋮ Lindelöf’s theorem for hyperbolic catenoids ⋮ Lawson correspondence and Ribaucour transformations ⋮ Mean curvature 1 surfaces of Costa type in hyperbolic three-space ⋮ Mean curvature one surfaces in hyperbolic space, and their relationship to minimal surfaces in Euclidean space







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