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arXiv · 1604.06453

The first positive eigenvalue of the sub-laplacian on cr spheres

Amine Aribi·Ahmad El Soufi
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Abstract

We prove that the first positive eigenvalue, normalized by the volume, of the sub-Laplacian associated with a strictly pseudoconvex pseudo-Hermitian structure $\θ$ on the CR sphere S 2n+1 $\subset$ C n+1 , achieves its maximum when $\θ$ is the standard contact form.

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Amine Aribi, Ahmad El Soufi. 2016-04-21. The first positive eigenvalue of the sub-laplacian on cr spheres. https://arxiv.org/abs/1604.06453

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