Correlations of Length Spectra for Negatively Curved Manifolds
نویسنده
چکیده
In this paper we obtain asymptotic estimates for pairs of closed geodesics on negatively curved manifolds, the differences of whose lengths lie in a prescribed family of shrinking intervals, were the geodesics are ordered with respect to a discrete length. In certain cases, this discrete length can be taken to be the word length with respect to a set of generators for the fundamental group.
منابع مشابه
Distributions of length multiplicities for negatively curved locally symmetric Riemannian manifolds
The aim of the present paper is to study the distributions of the length multiplicities for negatively curved locally symmetric Riemannian manifolds. In Theorem 2.1, we give upper bounds of the length multiplicities and the square sums of them for general (not necessarily compact) cases. Furthermore in Theorem 2.3, we obtain more precise estimates of the length multiplicities and the power sums...
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