Seminario di algebra e geometria
ore
12:00
presso Seminario II
For an embedded conformal hypersurface with boundary, we construct
critical order local invariants and their canonically associated
differential operators. These are obtained by a construction that uses
a singular Yamabe problem and a corresponding minimal hypersurface
with boundary. They include an extrinsic Q-curvature for the boundary
of the embedded conformal manifold and, for its interior, the
Q-curvature and accompanying boundary transgression curvatures. This
gives universal formulae for extrinsic analogs of Branson Q-curvatures
that simultaneously generalize the Willmore energy density, including
the boundary transgression terms required for conformal invariance.