Escaping geodesics in Riemannian surfaces with variable negative curvature Articles uri icon

publication date

  • March 2019

start page

  • 928

end page

  • 971

volume

  • 345

International Standard Serial Number (ISSN)

  • 0001-8708

Electronic International Standard Serial Number (EISSN)

  • 1090-2082

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

  • riemannian surface; pinched negative curvature; escaping geodesics; end; gromov hyperbolic spaces