THE FIRST POSITIVE EIGENVALUE OF THE SUB-LAPLACIAN ON CR SPHERES

Amine Aribi (1) , Ahmad El Soufi (1)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique

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 ⊂ C n+1 , achieves its maximum when θ is the standard contact form.

Mots clés: CR Sphere; Sub-Laplacian; eigenvalue

Domaines: Géométrie métrique [math.MG]

Amine Aribi, Ahmad El Soufi. THE FIRST POSITIVE EIGENVALUE OF THE SUB-LAPLACIAN ON CR SPHERES. 2016. ⟨hal-01303936⟩