Cleanliness of geodesics in hyperbolic 3-manifolds Article

Adams, C, Colestock, A, Fowler, J et al. (2004). Cleanliness of geodesics in hyperbolic 3-manifolds . PACIFIC JOURNAL OF MATHEMATICS, 213(2), 201-211. 10.2140/pjm.2004.213.201

cited authors

  • Adams, C; Colestock, A; Fowler, J; Gillam, W; Katerman, E

authors

abstract

  • In this paper, we investigate geodesics in cusped hyperbolic 3-manifolds. We derive conditions guaranteeing the existence of geodesics avoiding the cusps and use these geodesics to show that in "almost all" finite volume hyperbolic 3-manifolds, infinitely many horoballs in the universal cover corresponding to a cusp are visible in a fundamental domain of the cusp when viewed from infinity.

publication date

  • January 1, 2004

published in

Digital Object Identifier (DOI)

start page

  • 201

end page

  • 211

volume

  • 213

issue

  • 2