期刊论文详细信息
Proceedings of the Japan Academy, Series A. Mathematical Sciences | |
CMC-1 trinoids in hyperbolic 3-space and metrics of constant curvature one with conical singularities on the 2-sphere | |
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
【 预 览 】
Files | Size | Format | View |
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RO202106300000527ZK.pdf | 299KB | download |