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

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.

References in corpus (1)

• Inequalities and bounds for the eigenvalues of the sub-Laplacian on a strictly pseudoconvex CR manifold