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

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Shoichi Fujimori¹  Yu Kawakami²  Masatoshi Kokubu³  Wayne Rossman¹  Masaaki Umehara⁴  Kotaro Yamada⁵ 

[1] Department of Mathematics, Faculty of Science, Okayama University;Graduate School of Science and Engineering, Yamaguchi University;Department of Mathematics, School of Engineering, Tokyo Denki University;Department of Mathematical and Computing Sciences, Tokyo Institute of Technology;Department of Mathematics, Tokyo Institute of

关键词: Constant mean curvature;    spherical metrics;    conical singularities;    trinoids.;   

DOI  :  10.3792/pjaa.87.144

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

CMC-1 trinoids (i.e. constant mean curvature one immersed surfaces of genus zero 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 here we give an explicit description of CMC-1 trinoids in $H^{3}$ that includes the reducible case.

【 授权许可】

Unknown