对称空间中的测地线束、Karpelevich边界和相伴似多面体
Pencils of geodesics in symmetric spaces, Karpelevich boundary, and associahedron-like polyhedra
摘要：
利用测地线束构造对称空间的边界有几种方法：卡尔佩列维奇边界、可见性边界、结合面体边界和海胆。我们对这些边界进行了明确的描述。利用Cartan子空间得到了这些紧化的截集，得到了一些类模空间多面体。为了简单起见，我们只考虑$R^n$中的椭球空间$GL_n/O_n$。
英文摘要：
There are several ways of a construction of a boundary of a symmetric space using pencils of geodesics: the Karpelevich boundary, the visibility boundary, the associahedral boundary, and the sea urchin. We give explicit descriptions of these boundaries. We obtain some moduli space like polyhedra as sections of these compactifications by Cartan subspaces. For simplicity, we consider only the space $GL_n/O_n$ of ellipsoids in $R^n$.
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