Quasi-isometric embeddings of non-uniform lattices

  • David Fisher

    Indiana University, Bloomington, USA
  • Thang Nguyen

    Indiana University, Bloomington, USA
Quasi-isometric embeddings of non-uniform lattices cover

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Abstract

Let and be simple Lie groups of equal real rank and real rank at least . Let and be non-uniform lattices. We prove a theorem that often implies that any quasi-isometric embedding of into is at bounded distance from a homomorphism. For example, any quasi-isometric embedding of into is at bounded distance from a homomorphism. We also include a discussion of some cases when this result is not true for what turn out to be purely algebraic reasons.

Cite this article

David Fisher, Thang Nguyen, Quasi-isometric embeddings of non-uniform lattices. Comment. Math. Helv. 95 (2020), no. 1, pp. 37–78

DOI 10.4171/CMH/480