most citedGreatest least eigenvalue of the Laplacian on the Klein bottle

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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 on the Klein bottle one has $…

math.MG2005

Critical potentials of the eigenvalues and eigenvalue gaps of Schrödinger operators

Ahmad El Soufi, Nazih Moukadem

Let be a compact Riemannian manifold with or without boundary, and let be its Laplace-Beltrami operator. For any bounded scalar potential , we denote by the $…