Event Date
2011-11-07
Event Time
02:30 pm ~ 03:20 pm
Event Location
Wachman 617
Abstract: The Levi curvatures for a real hypersurface of $\mathbb{C}^{n+1}$ can be defined in analogy with Euclidean curvatures. The operator related to these curvatures is a second order fully non-linear operator. Its characteristic form, when computed on some ”pseudoconvex” function, is non-negative definite with kernel of dimension one. Since the missing ellipticity direction can be recovered by a suitable commutation relation, a strong comparison principle holds. This is an important tool for identification results. Using a technique introduced by Hounie and Lanconelli, we study bounded Reinhardt domains of $\mathbb{C}^{2}$ with an assigned curvature reflecting its symmetries.