29 citations · 149 across the 40 of their papers we have counts for
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math.DG2006★ 1 cited
A pinching theorem for the first eigenvalue of the laplacian on hypersurface of the euclidean space
Bruno Colbois, Jean-Francois Grosjean
In this paper, we give pinching Theorems for the first nonzero eigenvalue of the Laplacian on the compact hypersurfaces of the Euclidean space. Indeed, we prove that if the vol…
math.DG2006★ 1 cited
Area of ideal triangles and Gromov hyperbolicity in Hilbert Geometry
B. Colbois, C. Vernicos, P. Verovic
We prove, in the context of Hilbert geometry, the equivalence between the existence of an upper bound on the area of ideal triangles and the Gromov-hyperbolicity.