Abstract

Fully nonlinear conformal flows and application

Pengfei Guan
McMaster University
Department of Mathemactics and Statistics

We introduce a class of fully nonlinear parabolic equations
related to the curvature flows in coformal geometry. We discuss
the global existence and convergence of the flows and some consequences. Using the fully nonlinear flow, we establish some various sharp geometric ineqaulities in the conformal contents.