Seminar series
Date
Mon, 02 Dec 2013
Time
17:00 -
18:00
Location
L6
Speaker
Andrea Malchiodi
Organisation
University of Warwick
We consider a class of CR manifold 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.