Convexity of geodesic-length functions: a reprise
Differential Geometry
2007-05-23 v1
Abstract
New results on the convexity of geodesic-length functions on Teichm\"{u}ller space are presented. A formula for the Hessian of geodesic-length is presented. New bounds for the gradient and Hessian of geodesic-length are described. A relationship of geodesic-length functions to Weil-Petersson distance is described. Applications to the behavior of Weil-Petersson geodesics are discussed.
Cite
@article{arxiv.math/0502526,
title = {Convexity of geodesic-length functions: a reprise},
author = {Scott A. Wolpert},
journal= {arXiv preprint arXiv:math/0502526},
year = {2007}
}
Comments
14 pages