Flat fronts with polyhedral symmetry in hyperbolic three-space
Flat fronts with polyhedral symmetry in hyperbolic three-space
复制标题
双曲三空间中具有多面体对称性的平锋
DOI：
10.1007/s00022-022-00633-7
复制
发表时间：
2022
影响因子：
0.6
通讯作者：
Masatoshi Kokubu
中科院分区：
文献类型：
--
作者：
Hashizume Megumi;Ito Noboru;Masatoshi Kokubu
研究了具有类似正多面体对称性的平坦波前。平面锋是双曲三维空间中允许某种奇点的平面。明确的描述规则多面体平坦的前线（四面体，立方，八面体，十二面体和二十面体平坦的前线），并显示它们的表征。
Flat fronts with symmetry similar to regular polyhedrons are studied. A flat front is a flat surface in hyperbolic three-space admitting a certain kind of singularities. Explicit descriptions of regular-polyhedral flat fronts (tetrahedral, cubic, octahedral, dodecahedral and icosahedral flat fronts) are given and a characterization of them is shown.