Marked length rigidity for one dimensional spaces
Metric Geometry
2012-09-19 v2 Geometric Topology
Abstract
Any two compact, complete, one-dimensional geodesic spaces with identical marked length spectrum have isometric -hull. The present version contains errors, notably in Lemmas 2.2 and 2.3 (path cancellations can be more complicated), which then propagate through the paper. The main result is correct as stated, and a proof can be found in the joint paper with David Constantine, arXiv:1209.3709
Cite
@article{arxiv.math/0301309,
title = {Marked length rigidity for one dimensional spaces},
author = {Jean-Francois Lafont},
journal= {arXiv preprint arXiv:math/0301309},
year = {2012}
}
Comments
20 pages, 3 figures