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Totally Geodesic Spectra of Arithmetic Hyperbolic Spaces
In this paper we show that totally geodesic subspaces determine the
commensurability class of a standard arithmetic hyperbolic -orbifold, . Many of the results are more general and apply to locally symmetric spaces
associated to arithmetic lattices in -simple Lie groups of type
and . We use a combination of techniques from algebraic groups and
quadratic forms to prove several results about these spaces.Comment: 34 Pages. Corrected typos. Added references. Improved expositio
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