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arXiv:1008.3734 [math.DG]AbstractReferencesReviewsResources

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

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

Published 2010-08-23, updated 2011-08-17Version 3

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.

Comments: 10 pages, 3 figures
Categories: math.DG
Subjects: 53A10, 53A35, 53C42, 33C05
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