Stable norms of non-orientable surfaces
Differential Geometry
2014-10-03 v1 Dynamical Systems
Abstract
We study the stable norm on the first homology of a closed, non-orientable surface equipped with a Riemannian metric. We prove that in every conformal class there exists a metric whose stable norm is polyhedral. Furthermore the stable norm is never strictly convex if the first Betti number of the surface is greater than two.
Cite
@article{arxiv.math/0703667,
title = {Stable norms of non-orientable surfaces},
author = {Florent Balacheff and Daniel Massart},
journal= {arXiv preprint arXiv:math/0703667},
year = {2014}
}