29 citations · 149 across the 40 of their papers we have counts for
Showing 2012 · math.DGShow all
2 papers · 2 filters
math.DG2012★ 1 cited
Laplacian and spectral gap in regular Hilbert geometries
Thomas Barthelmé, Bruno Colbois, Mickaël Crampon +1
We study the spectrum of the Finsler--Laplace operator for regular Hilbert geometries, defined by convex sets with boundaries. We show that for an -dimensional geometry, t…
math.DG2012★ 7 cited
Eigenvalues control for a Finsler--Laplace operator
Thomas Barthelmé, Bruno Colbois
Using the definition of a Finsler--Laplacian given by the first author, we show that two bi-Lipschitz Finsler metrics have a controlled spectrum. We deduce from that several genera…