The self-adjointness of a sublaplacian and Kohn-Rossi laplacians on a non-compact strictly pseudoconvex CR manifold is proved. As applications to geometry, the vanishing and the conservativeness of harmonic forms are obtained.
Cite this article
Jun Masamune, Vanishing and conservativeness of harmonic forms of a non-compact CR manifold. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 19 (2008), no. 2, pp. 79–102DOI 10.4171/RLM/510