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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