Limit sets of Weil–Petersson geodesics with nonminimal ending laminations-Reference-Cited by-同舟云学术

Limit sets of Weil–Petersson geodesics with nonminimal ending laminations

Published:2018-09-10 Issue:01 Volume:12 Page:1-28
ISSN:1793-5253
Container-title:Journal of Topology and Analysis
language:en
Short-container-title:J. Topol. Anal.

Author:

Brock Jeffrey¹,Leininger Christopher²,Modami Babak³^ORCID,Rafi Kasra⁴

Affiliation:

1. Department of Mathematics, Brown University Providence, RI, USA

2. Department of Mathematics, University of Illinois, 1409 W Green ST, Urbana, IL, USA

3. Institute for Mathematical Sciences, Stony Brook University, Stony Brook, NY 11794-3660, USA

4. Department of Mathematics, University of Toronto, Toronto, Ontario, Canada

Abstract

In this paper, we construct examples of Weil–Petersson geodesics with nonminimal ending laminations which have [Formula: see text]-dimensional limit sets in the Thurston compactification of Teichmüller space.

Funder

NSF

NSERC

Publisher

World Scientific Pub Co Pte Lt

Subject

Geometry and Topology,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793525319500456

Reference25 articles.

1. The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores

2. Weil–Petersson isometries via the pants complex

3. Asymptotics of Weil–Petersson Geodesics I: Ending Laminations, Recurrence, and Flows

4. Asymptotics of Weil–Petersson Geodesics II: Bounded Geometry and Unbounded Entropy

5. Recurrent Weil–Petersson geodesic rays with non-uniquely ergodic ending laminations

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