Stable norms of non-orientable surfaces

Florent Balacheff; Daniel Massart

doi:10.5802/aif.2386

Stable norms of non-orientable surfaces

Florent Balacheff^*, Daniel Massart

^*Autor correspondiente de este trabajo

Departamento de Matemáticas

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

6 Citas (Scopus)

1 Descargas (Pure)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	1337-1369
Número de páginas	33
Publicación	Annales de l'Institut Fourier
Volumen	58
N.º	4
DOI	https://doi.org/10.5802/aif.2386
Estado	Publicada - 2008

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Stable norms of non-orientable surfaces

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