Limits of asymptotically Fuchsian surfaces in a closed hyperbolic 3-manifold

  • Fernando Al Assal
Raum P901 Universität Leipzig (Leipzig)


Let M be a closed hyperbolic 3-manifold and let Gr(M) be its 2-plane Grassmann bundle. We will discuss the following result: the weak-* limits of the probability area measures on Gr(M) of pleated or minimal closed connected essential K-quasifuchsian surfaces as K goes to 1 are all convex combinations of the probability area measures of the immersed closed totally geodesic surfaces of M and the probability volume (Haar) measure of Gr(M).

12/8/22 4/18/24

Seminar on Algebra and Combinatorics

Universität Leipzig Augusteum - A314

Mirke Olschewski

MPI for Mathematics in the Sciences Contact via Mail