Ahmad El Soufi

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

14 citations · 21 across the 3 of their papers we have counts for

collaborators

3 papers

math.MG2005★ 6 cited

Greatest least eigenvalue of the Laplacian on the Klein bottle

Ahmad El Soufi, Hector Giacomini, Mustapha Jazar

We prove the following conjecture recently formulated by Jakobson, Nadirashvili and Polterovich \cite{JNP}: For any Riemannian metric $g$ on the Klein bottle $K$ one has $…

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…

math.DG2004★ 1 cited

Eigenvalues of the Laplacian acting on $p$ -forms and metric conformal deformations

Bruno Colbois, Ahmad El Soufi

Let $(M, g)$ be a compact connected orientable Riemannian manifold of dimension $n \geq 4$ and let $λ_{k, p} (g)$ be the $k$ -th positive eigenvalue of the Laplacian $Δ_{g, p} = d d^{*} + d^{*} d$ …

Greatest least eigenvalue of the Laplacian on the Klein bottle

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

Eigenvalues of the Laplacian acting on p-forms and metric conformal deformations

Eigenvalues of the Laplacian acting on $p$ -forms and metric conformal deformations