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Open Access Publications from the University of California

Finsler bordifications of symmetric and certain locally symmetric spaces

  • Author(s): Kapovich, M
  • Leeb, B
  • et al.

© 2018, Mathematical Sciences Publishers. All Rights reserved. We give a geometric interpretation of the maximal Satake compactification of symmetric spaces X=G/K of noncompact type, showing that it arises by attaching the horofunction boundary for a suitable G-invariant Finsler metric on X. As an application, we establish the existence of natural bordifications, as orbifolds-with-corners, of locally symmetric spaces X/Γ for arbitrary discrete subgroups Γ

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