CMC-1 trinoids in hyperbolic 3-space and metrics of constant curvature one with conical singularities on the 2-sphere

2010/08/23 by Shoichi Fujimori, Fujimori, Shoichi, Yu Kawakami +9
Engineering · Mathematics · #33C05 #53A35 #Advanced Numerical Analysis Techniques #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Primary 53A10 #Secondary 53C42 #math.DG #msc:33C05 #msc:53A10 #msc:53A35 #msc:53C42

paper · pdf · doi:10.48550/arxiv.1008.3734

10 pages, 3 figures

openalex publication_date 2010/08/23 · arxiv created 2011/08/17 · arxiv updated 2011/08/18 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

CMC-1 trinoids (i.e. constant mean curvature one immersed surface with three regular embedded ends) in hyperbolic 3-space H³ 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 H³ that includes the reducible case.

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