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arxiv: 1206.0229 · v1 · pith:RAEKUDHHnew · submitted 2012-06-01 · 🧮 math.SP · math.DG

Maximization of the second conformal eigenvalue of spheres

classification 🧮 math.SP math.DG
keywords boundconformaleigenvaluesecondspheresupperasymptoticallyclass
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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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