Mathematics – Differential Geometry
Scientific paper
2009-04-25
Kyushu J. Math. 64 (2010), 169-180
Mathematics
Differential Geometry
11 pages, 5 figures
Scientific paper
We show existence of constant mean curvature 1 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.
Fujimori Shoichi
Rossman Wayne
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