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arxiv: 1604.06453 · v1 · pith:CJ7HDGWJnew · submitted 2016-04-21 · 🧮 math.DG

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

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

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