English

Cauchy Inequality and the Space of Measured Laminations

Geometric Topology 2007-05-23 v1

Abstract

We establish a Cauchy type inequality for the geometric intersection number between two 1-dimensional submanifolds in a surface. Some of the basic results in Thurston's theory of measured laminations on surfaces are derived from the Cauchy inequality.

Keywords

Cite

@article{arxiv.math/0006007,
  title  = {Cauchy Inequality and the Space of Measured Laminations},
  author = {Feng Luo and Richard Stong},
  journal= {arXiv preprint arXiv:math/0006007},
  year   = {2007}
}

Comments

15 pages, 10 figures