Mathematical Sciences: Discrete Groups and the Geometry of Complex Hyperbolic Space

小行星9404174 研究范围涉及复杂双曲空间的几何和拓扑以及群作用等问题。曲率不变量可以用来区分某些等价类的流形上的边界建模后者。关于海森堡空间几何学的进一步问题将被探讨。这项研究可能在数学物理学中有潜在的应用。 ***

9404174 Miner The scope of the research entails problems related to the geometry and topology of complex hyperbolic spaces and group actions on these. Curvature invariants can be used to distinguish between certain equivalences classes of manifolds modeled on the boundary of the latter. Further questions concerning the geometry of Heisenberg space will be pursued. This research may have potential applications to mathematical physics. ***