A characterization of shortest geodesics on surfaces

Details A characterization of shortest geodesics on surfaces A characterization of shortest geodesics on surfaces

2001-06-24

arxiv.org/abs/math/0106200v1

Algebr. Geom. Topol. 1 (2001) 349-368

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-17.abs.html

Scientific paper

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.

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