Maximization of the second conformal eigenvalue of spheres

Petrides, Romain

doi:10.1090/S0002-9939-2014-12095-8

Maximization of the second conformal eigenvalue of spheres
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by Romain Petrides

Proc. Amer. Math. Soc. 142 (2014), 2385-2394

DOI: https://doi.org/10.1090/S0002-9939-2014-12095-8

Published electronically: March 20, 2014

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Abstract:

In this paper we establish 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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