Seminario di algebra e geometria, analisi matematica
ore
11:30
presso Aula Tonelli
We consider a class of CR manifolds which are defined as asymptotically Heisenberg,
and for these we give a notion of mass. From the solvability of the $\Box_b$ equation
in a certain functional class ([Hsiao-Yung]), we prove positivity of the mass under the
condition that the Webster curvature is positive and that the manifold is embeddable.
We apply this result to the Yamabe problem for compact CR manifolds, assuming positivity
of the Webster class and non-negativity of the Paneitz operator. This is joint work with
J.H.Cheng and P.Yang.