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

Authors :
Fujimori, Shoichi
Kawakami, Yu
Kokubu, Masatoshi
Rossman, Wayne
Umehara, Masaaki
Yamada, Kotaro
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

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1008.3734
Document Type :
Working Paper