Compactifications of symmetric spaces
Borel, A. ; Ji, L.
J. Differential Geom., Tome 75 (2007) no. 1, p. 1-56 / Harvested from Project Euclid
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 compactification 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.
Publié le : 2007-01-14
Classification: 
@article{1175266253,
     author = {Borel, A. and Ji, L.},
     title = {Compactifications of symmetric spaces},
     journal = {J. Differential Geom.},
     volume = {75},
     number = {1},
     year = {2007},
     pages = { 1-56},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1175266253}
}
Borel, A.; Ji, L. Compactifications of symmetric spaces. J. Differential Geom., Tome 75 (2007) no. 1, pp.  1-56. http://gdmltest.u-ga.fr/item/1175266253/