Geometry of the Weil-Petersson completion of Teichm\"uller space
Differential Geometry
2007-05-23 v1
Abstract
We present a view of the current understanding of the geometry of Weil-Petersson (WP) geodesics on the completion of the Teichm\"uller space. We sketch a collection of results by other authors and then proceed to develop the properties of the WP CAT(0) geometry. Our approach includes a simplified proof of the Masur-Wolf theorem, a classification of flats and of geodesic limits.
Keywords
Cite
@article{arxiv.math/0502528,
title = {Geometry of the Weil-Petersson completion of Teichm\"uller space},
author = {Scott A. Wolpert},
journal= {arXiv preprint arXiv:math/0502528},
year = {2007}
}
Comments
50 pages