Hausdorff dimension of diophantine geodesics in negatively curved manifolds

Sa'ar Hersonsky; Frédéric Paulin

doi:10.1515/crll.2001.077

Hausdorff dimension of diophantine geodesics in negatively curved manifolds

Sa'ar Hersonsky, Frédéric Paulin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

We provide a sharp estimate for the visual dimension of the set of geodesic rays, starting from any fixed point p in a closed pinched negatively curved Riemannian manifold, that are coming back exponentially close to p infinitely often.

Original language	English
Pages (from-to)	29-43
Number of pages	15
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	539
DOIs	https://doi.org/10.1515/crll.2001.077
State	Published - 1 Dec 2001

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1515/crll.2001.077

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title = "Hausdorff dimension of diophantine geodesics in negatively curved manifolds",

abstract = "We provide a sharp estimate for the visual dimension of the set of geodesic rays, starting from any fixed point p in a closed pinched negatively curved Riemannian manifold, that are coming back exponentially close to p infinitely often.",

author = "Sa'ar Hersonsky and Fr{\'e}d{\'e}ric Paulin",

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AB - We provide a sharp estimate for the visual dimension of the set of geodesic rays, starting from any fixed point p in a closed pinched negatively curved Riemannian manifold, that are coming back exponentially close to p infinitely often.

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Hausdorff dimension of diophantine geodesics in negatively curved manifolds

Abstract

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