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arXiv · 1206.0229

Maximization of the second conformal eigenvalue of spheres

Romain Petrides
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Abstract

We establish in this paper an upper bound on the second eigenvalue of n-dimensional spheres in the conformal class of the round sphere. This upper bound holds in all dimensions and is asymptotically sharp as the dimension increases.

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Romain Petrides. 2012-06-01. Maximization of the second conformal eigenvalue of spheres. https://arxiv.org/abs/1206.0229

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