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CMC-1 trinoids in hyperbolic 3-space and metrics of constant curvature one with conical singularities on the 2-sphere
- Publication Year :
- 2010
-
Abstract
- CMC-1 trinoids (i.e. constant mean curvature one immersed surface with three regular embedded ends) in hyperbolic 3-space H^3 are irreducible generically, and the irreducible ones have been classified. However, the reducible case has not yet been fully treated, so in this paper we give an explicit description of CMC-1 trinoids in H^3 that includes the reducible case.<br />Comment: 10 pages, 3 figures
- Subjects :
- Mathematics - Differential Geometry
Primary 53A10, 53A35, Secondary 53C42, 33C05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1008.3734
- Document Type :
- Working Paper