Short geodesics and end invariants
几何拓扑
2007-05-23 v1
摘要
This expository article discusses some connections between the geometry of a hyperbolic 3-manifold homotopy-equivalent to a surface, and the combinatorial properties of its end invariants. In particular a necessary and sufficient condition is stated for the manifold to have arbitrarily short geodesics, in terms of a sequence of coefficients called subsurface projection distances, which are analogous in some ways to continued-fraction coefficients. (The proof of sufficiency appeared in math.GT/9907070)
引用
@article{arxiv.math/0006002,
title = {Short geodesics and end invariants},
author = {Yair N. Minsky},
journal= {arXiv preprint arXiv:math/0006002},
year = {2007}
}
备注
19 pages, 2 figures. To appear in Proceedings of RIMS Comprehensive Research on Complex Dynamical Systems and Related Fields