A characterization of shortest geodesics on surfaces
Geometric Topology
2014-10-01 v1 Metric Geometry
Abstract
Any finite configuration of curves with minimal intersections on a surface is a configuration of shortest geodesics for some Riemannian metric on the surface. The metric can be chosen to make the lengths of these geodesics equal to the number of intersections along them.
Cite
@article{arxiv.math/0106200,
title = {A characterization of shortest geodesics on surfaces},
author = {Max Neumann-Coto},
journal= {arXiv preprint arXiv:math/0106200},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-17.abs.html