A local limit theorem for closed geodesics and homology-Reference-Cited by-同舟云学术

A local limit theorem for closed geodesics and homology

Published:2004-01-16 Issue:12 Volume:356 Page:4897-4908
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Sharp Richard

Abstract

In this paper, we study the distribution of closed geodesics on a compact negatively curved manifold. We concentrate on geodesics lying in a prescribed homology class and, under certain conditions, obtain a local limit theorem to describe the asymptotic behaviour of the associated counting function as the homology class varies.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2004-356-12/S0002-9947-04-03534-2/S0002-9947-04-03534-2.pdf

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