Hilbert domains quasi-isometric to normed vector spaces

Bruno Colbois (1) , Patrick Verovic (2)

1 UNINE - Institut de Mathématiques
2 LAMA - Laboratoire de Mathématiques

We prove that a Hilbert domain which is quasi-isometric to a normed vector space is actually a convex polytope.

Domaines: Géométrie métrique [math.MG]

Bruno Colbois, Patrick Verovic. Hilbert domains quasi-isometric to normed vector spaces. 2009. ⟨hal-00271381v2⟩