CMC-1 trinoids in hyperbolic 3-space and metrics of constant curvature one with conical singularities on the 2-sphere
CMC-1 trinoids in hyperbolic 3-space and metrics of constant curvature one with conical singularities on the 2-sphere
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DOI：
10.3792/pjaa.87.144
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发表时间：
2010-08
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影响因子：
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通讯作者：
S. Fujimori;Y. Kawakami;M. Kokubu;W. Rossman;M. Umehara;Kotaro Yamada
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文献类型：
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作者：
S. Fujimori;Y. Kawakami;M. Kokubu;W. Rossman;M. Umehara;Kotaro Yamada
双曲三维空间H^3中的CMC-1三角曲面（即常平均曲率一浸入面，三个规则嵌入端）具有一般不可约性，并对不可约性进行了分类。然而，可约情况尚未得到充分的处理，因此本文给出了H^3中包含可约情况的CMC-1三三角的显式描述。
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.