Seminari del Dipartimento di Matematica
Università di Bologna

18 Mag 2017
seminario di analisi matematica
Fractional Poincaré inequalities on manifolds with finite total Q-curvature
Yannick Sire (Johns Hopkins University)
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.