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We prove that the first positive eigenvalue, normalized by the volume, of thesub-Laplacian associated with a strictly pseudoconvex pseudo-Hermitianstructure $\\theta$ on the CR sphere S 2n+1 $\subset$ C n+1 , achieves itsmaximum when $\\theta$ is the standard contact form.

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