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 $n\ge 4$ and let ${\lambda }_{k,p}(g)$ be the $k$-th positive eigenvalue of the Laplacian ${\Delta }_{g,p}=d{d}^{\ast }+d^{\ast }d$…