Ford fundamental domains in symmetric spaces of rank one

Details Ford fundamental domains in symmetric spaces of rank one Ford fundamental domains in symmetric spaces of rank one

2009-08-28

arxiv.org/abs/0908.4203v2

Mathematics

Differential Geometry

54 pages; typos corrected

Scientific paper

We show the existence of isometric (or Ford) fundamental regions for a large
class of subgroups of the isometry group of any rank one Riemannian symmetric
space of noncompact type. The proof does not use the classification of
symmetric spaces. All hitherto known existence results of isometric fundamental
regions and domains are essentially subsumed by our work.

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