Geodesic planes in the convex core of an acylindrical 3-manifold
نویسندگان
چکیده
Let M be a convex cocompact, acylindrical hyperbolic 3-manifold of infinite volume, and let M∗ denote the interior of the convex core of M . In this paper we show that any geodesic plane inM∗ is either closed or dense. We also show that only countably many planes are closed. These are the first rigidity theorems for planes in convex cocompact 3-manifolds of infinite volume that depend only on the topology of M .
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