Abstract
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-c.
| Original language | English |
|---|---|
| Pages (from-to) | 169-180 |
| Number of pages | 12 |
| Journal | Kyushu Journal of Mathematics |
| Volume | 64 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Nov 12 2010 |
Keywords
- Constant mean curvature-one surface
- De sitter 3-space
- Higher-genus surface
- Hyperbolic 3-space
ASJC Scopus subject areas
- Mathematics(all)
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Fujimori, S., & Rossman, W. (2010). Higher-genus mean curvature-one catenoids in hyperbolic and de sitter 3-spaces. Kyushu Journal of Mathematics, 64(2), 169-180. https://doi.org/10.2206/kyushujm.64.169