Liouville property and quasi-isometries on non-positively curved Riemannian surfaces Articles uri icon

publication date

  • January 2025

start page

  • 794

end page

  • 805

issue

  • 3

volume

  • 298

International Standard Serial Number (ISSN)

  • 0025-584X

Electronic International Standard Serial Number (EISSN)

  • 1522-2616

abstract

  • Kanai proved the stability under quasi-isometries of several global properties for Riemannian manifolds with the restriction of having positive injectivity radius. This work shows the stability of the Liouville property for Riemannian surfaces with non-positive curvature, where the restriction on the injectivity radius has been removed.

subjects

  • Computer Science
  • Mathematics

keywords

  • ends; liouville property; non-positive curvature; poincarĂ© metric; quasi-isometry; riemann surface