David Gabai

Spanning Laminations are Proper

Abstract: Suppose that H^3 is given the Riemannian metric r induced from a Riemannian metric on a closed hyperbolic 3-manifold.

Theorem If \sigma is a r-least area D^2-limit lamination spanning a smooth simple closed curve in S^2_\infty, then each leaf of \sigma is a proper plane.