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Escaping geodesics in Riemannian surfaces with variable negative curvature

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Abstract In this paper we give a lower bound for the visual Hausdorff dimension of the geodesics escaping through different ends of Riemannian surfaces with pinched negative curvature. This allows… Click to show full abstract

Abstract In this paper we give a lower bound for the visual Hausdorff dimension of the geodesics escaping through different ends of Riemannian surfaces with pinched negative curvature. This allows to show that in any Riemannian surface with pinched negative curvature and infinite area there is a large set of geodesics escaping to infinity.

Keywords: negative curvature; surfaces variable; escaping geodesics; curvature; geodesics riemannian; riemannian surfaces

Journal Title: Advances in Mathematics
Year Published: 2019

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