Stable norms of non-orientable surfaces

Florent Balacheff*, Daniel Massart

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1337-1369
Number of pages33
JournalAnnales de l'Institut Fourier
Issue number4
Publication statusPublished - 2008


  • Minimizing measures
  • non-orientable surface
  • stable norm


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