Seminari del Dipartimento di Matematica

Seminario del 2017

Yannick Sire (Johns Hopkins University)

Fractional Poincaré inequalities on manifolds with finite total Q-curvature

nell'ambito della serie: SEMINARI DI ANALISI MATEMATICA BRUNO PINI

analisi matematica

We establish new fractional Poincaré inequalities encoding geometry of conformally flat manifolds with finite total Q-curvature. The method of proof is based on some improvement of the standard Poincare inequality and harmonic analysis techniques. We will give a description of the underlying geometry and in particular the role of the Q-curvature.