Compactifications of symmetric spaces

Armand Borel Institute for Advanced Studies Lizhen Ji Zhejiang University

Differential Geometry mathscidoc:1609.10001

Journal of Differential Geometry, 75, 1-56, 2007
Compactifications of symmetric spaces have been constructed by different methods for various applications. One application is to provide the so-called rational boundary components which can be used to compactify locally symmetric spaces. In this paper, we construct many compactifications of symmetric spaces using a uniform method, which is motivated by the Borel-Serre compact- ification of locally symmetric spaces. Besides unifying compactifications of both symmetric and locally symmetric spaces, this uniform construction allows one to compare and relate easily different compactifications, to extend the group action continuously to boundaries of compactifications, and to clarify the structure of the boundaries.
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  author={Armand Borel, and Lizhen Ji},
  booktitle={Journal of Differential Geometry},
Armand Borel, and Lizhen Ji. COMPACTIFICATIONS OF SYMMETRIC SPACES. 2007. Vol. 75. In Journal of Differential Geometry. pp.1-56.
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