Calculus of Variations and Geometric Measure Theory

About the total Q-prime curvature

Paul Yang

created by malchiodi on 07 Nov 2022

10 nov 2022 -- 14:30   [open in google calendar]

Aula Volterra

Abstract.

The Q-prime curvature is a fourth-order local invariant associated to a contact form on a CR structure in dimension three. Its integral is a global invariant of the structure.It is modelled after the Q-curvature of a conformal 4-manifold and enjoys many analogous properties. I will explain some some of the known results concerning this invariant. It can be used to characterize domains in the Heisenberg group with finite total Q-prime curvature as the complement of a finite number of points.