Ahmad El Soufi

activity

20042016

most citedExtremal eigenvalues of the Laplacian in a conformal class of metrics : the "conformal spectrum"

14 citations · 24 across the 4 of their papers we have counts for

collaborators

Showing math.DGShow all

3 papers · 1 filter

math.DG2016★ 1 cited

Spectrum of the Laplacian with weights

Bruno Colbois, Ahmad El Soufi

Given a compact Riemannian manifold (M, g) and two positive functions $ρ$ and $σ$ , we are interested in the eigenvalues of the Dirichlet energy functional weighted by $σ$ , with res…

math.DG2016

The first positive eigenvalue of the sub-laplacian on cr spheres

Amine Aribi, Ahmad El Soufi

We prove that the first positive eigenvalue, normalized by the volume, of the sub-Laplacian associated with a strictly pseudoconvex pseudo-Hermitian structure $\θ$ on the CR sphere…

math.DG2004★ 14 cited

Extremal eigenvalues of the Laplacian in a conformal class of metrics : the "conformal spectrum"

Bruno Colbois, Ahmad El Soufi

Let $M$ be a compact connected manifold of dimension $n$ endowed with a conformal class $C$ of Riemannian metrics of volume one. For any integer $k \geq 0$ , we consider the conformal…