Limit sets of Weil-Petersson geodesics with nonminimal ending laminations

Abstract

In this paper we construct examples of Weil-Petersson geodesics with nonminimal ending laminations which have 1-dimensional limit sets in the Thurston compactification of Teichmüller space.

27 pages, 4 figures; the paper was revised, in particular some pictures were added to section 3 to illustrate the construction. Also, Theorem 2.3 about the combinatorial estimate for the hyperbolic length of a curve on a Riemann surface is included. The paper will appear in J. Topol. Anal