Metrics on a closed surface of genus two which maximize the first eigenvalue of the Laplacian

By S. Nayatani, T. Shoda. Comptes rendus. Mathematique, 2017

53 citations recorded by the source corpus.

In this paper, we settle in the affirmative the Jakobson-Levitin-Nadirashvili-Nigam-Polterovich conjecture, stating that a certain singular metric on the Bolza surface, with area normalized, should maximize the first eigenvalue of the Laplacian.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/fb5450e8cdb90b867d150368e55958aaa2ee356c