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20042020
most citedMetrics on a closed surface of genus two which maximize the first eigenvalue of the Laplacian

9 citations · 15 across the 6 of their papers we have counts for

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Showing 2017Show all

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math.GR2017

Fixed-point property for affine actions on a Hilbert space

Shin Nayatani

Gromov showed that for fixed, arbitrarily large C, any uniformly C-Lipschitz affine action of a random group in his graph model on a Hilbert space has a fixed point. We announce a…

math.DG2017★ 9 cited

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

Shin Nayatani, Toshihiro Shoda

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 n…