most citedGreatest least eigenvalue of the Laplacian on the Klein bottle

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math.MG2007

A unique extremal metric for the 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}: on the Klein bottle , the metric of revolution $$g_0= {9+ (1…

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 $…