关于3-orbifolds中强几何孤立性的一个注记
A note on strong geometric isolation in 3-orbifolds
摘要：
Neumann和Reid在他们的论文“Rigidity of cusps in deformations of hyperbolic 3-orbifolds”（Math Ann.295（1993）no.2，223- 237）中描述了一种2-尖点双曲3-orbifold，其中尖点是几何孤立的。基于Jeff Weeks的snappea程序提供的数值证据，他们证实了尖点是强烈的几何孤立的，这是我们在这里建立的事实。我们还给出了参数化的Dehn手术空间的这个orbifold有有趣的特性。
英文摘要：
Neumann and Reid described in their paper "Rigidity of cusps in deformations of hyperbolic 3-orbifolds" (Math Ann. 295 (1993) no. 2, 223--237) a 2-cusped hyperbolic 3-orbifold in which the cusps are geometrically isolated. Based on numerical evidence provided by Jeff Weeks' snappea program, they conjectured that the cusps are strongly geometrically isolated, a fact which we establish here. We also give a parameterization of the Dehn surgery space of this orbifold which has amusing properties.
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