most citedHow large can the first eigenvalue be on a surface of genus two?

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math.SP2005★ 11 cited

How large can the first eigenvalue be on a surface of genus two?

D. Jakobson, M. Levitin, N. Nadirashvili +2

Sharp upper bounds for the first eigenvalue of the Laplacian on a surface of a fixed area are known only in genera zero and one. We investigate the genus two case and conjecture th…