Asymptotic geometry and growth of conjugacy classes of nonpositively curved manifolds

Details Asymptotic geometry and growth of conjugacy classes of nonpositively curved manifolds Asymptotic geometry and growth of conjugacy classes of nonpositively curved manifolds

2005-08-18

arxiv.org/abs/math/0508346v2

Mathematics

Differential Geometry

revised version: added reference, corrected typos, 17 pages, to appear in Annals of Global Analysis and Geometry

Scientific paper

Let X be a Hadamard manifold and $\Gamma$ a discrete group of isometries of X
which contains an axial isometry without invariant flat half plane. We study
the behavior of conformal densities on the geometric limit set of $\Gamma$ in
order to derive a new asymptotic estimate for the growth rate of closed
geodesics in not necessarily compact or finite volume manifolds.

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