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math.DG2004★ 2 cited
Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane
Bruno Colbois, Constantin Vernicos
We prove that the Hilbert geometry of a convex domain in the plane is Gromov hyperbolic, if, and only if, the bottom of its spectrum is not zero
math.DG2003
The Length of Harmonic Forms on a Compact Riemannian Manifold
Paul-Andi Nagy, Constantin Vernicos
We study dimensional Riemanniann manifolds with harmonic forms of constant length and first Betti number equal to showing that they are 2-steps nilmanifolds with some spe…