arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv math/0506613math.CO
收藏

三角双曲线建筑

Triangular hyperbolic buildings

Riikka Kangaslampi, Alina Vdovina

摘要:

构造了链环为广义4-π的三角双曲多面体。这些多面体的普遍覆盖是双曲建筑物,其近似是由具有角度$π/4$的正三角形镶嵌的双曲平面。此外,多面体的基本群对建筑物的顶点的作用是简单传递的。

英文摘要:

We construct triangular hyperbolic polyhedra whose links are generalized 4-gons. The universal cover of those polyhedra are hyperbolic buildings, which appartments are hyperbolic planes tesselated by regular triangles with angles $π/4$. Moreover, the fundamental groups of the polyhedra acts simply transitively on vertices of the buildings.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑