Quantitative Liouville theorems for equations of the Schouten tensor in conformal geometry.

16 May 2016
14:15
Luc Nguyen
Abstract

The classical Yamabe problem asks to find in a given conformal class a metric of constant scalar curvature. In fully nonlinear analogues, the scalar curvature is replaced by certain functions of the eigenvalue of the Schouten curvature tensor. I will report on quantitative Liouville theorems and fine blow-up analysis for these problems. Joint work with Yanyan Li.
 

  • Geometry and Analysis Seminar