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Cleanliness of
geodesics in hyperbolic 3-manifolds
C. Adams, A. Colestock, J. Fowler, W. Gillam and E. Katerman |
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Vol. 213 (2004), No. 2, 201–212
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Abstract |
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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. |
Milestones
Received: 1 October 2002
Revised: 20 January 2003
Published: 1 February 2004
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Authors |
| C. Adams | |
| Dept. of Mathematics Williams College Williamstown, MA 01267 |
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| A. Colestock | |
| Dept. of Mathematics Williams College Williamstown, MA 01267 |
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| J. Fowler | |
| Dept. of Mathematics Williams College Williamstown, MA 01267 |
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| W. Gillam | |
| Dept. of Mathematics Williams College Williamstown, MA 01267 |
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| E. Katerman | |
| Dept. of Mathematics Williams College Williamstown, MA 01267 |
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