Horospheres in degenerate 3-manifolds

Abstract

We study horospheres in hyperbolic 3-manifolds $M$ all whose ends are degenerate. Towards this, we study which almost minimizing geodesics in $M$ go through arbitrarily thin parts.

arXiv commentAdded erratum in Section 7. We are grateful to James Farre and Yair Minsky for bringing the errors to our notice

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