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
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
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.