On the Uniform Equidistribution of Closed Horospheres in Hyperbolic Manifolds

University dissertation from Uppsala : Matematiska institutionen, Uppsala universitet

Author: Anders Södergren; Uppsala Universitet.; [2008]

Keywords: NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

Abstract: We prove equidistribution results for (pieces of) closed horospheres in cofinite hyperbolic manifolds of dimension n+1, using spectral methods. This extends earlier results by Hejhal [Hej2] and Str¨ombergsson [St1] in dimension 2.

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