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- W1772369811 abstract "The first nontrivial eigenvalue of the Laplacian can be considered as a functional on the space of all Riemannian metrics of unit volume on a fixed surface. In this paper we prove that for the surface of genus 2 the supremum of this functional is equal to $16pi$. This provides a positive answer to the conjecture by Jakobson, Levitin, Nadirashvili, Nigam and Polterovich." @default.
- W1772369811 created "2016-06-24" @default.
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- W1772369811 date "2013-09-19" @default.
- W1772369811 modified "2023-09-27" @default.
- W1772369811 title "Maximization of the first nontrivial eigenvalue on the surface of genus two" @default.
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