Pour toute surface hyperbolique de genre $g$, $λ_{2g-2}>\frac 14}$

Details Pour toute surface hyperbolique de genre $g$, $λ_{2g-2}>\frac 14}$ Pour toute surface hyperbolique de genre $g$, $λ_{2g-2}>\frac 14}$

2009-05-05

arxiv.org/abs/0905.0506v1

Mathematics

Differential Geometry

The final version of this article will be published in the Duke Mathematical Journal

Scientific paper

We show that for any hyperbolic surface of genus g, the eigenvalue $\lambda
_{2g-2}$ of the Laplace operator is > 1/4.

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