The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups

Seminar schedule

Please join us for lunch after the talk.

Abstract: One of the most important challenges of Riemannian geometry is to understand the Ricci curvature tensor. An open problem related with it is to find a Riemannian metric $g$ and a real number $c>0$ satisfying $$\mathrm{Ric}(g)=cT,$$ for some fixed symmetric $(0,2)$-tensor field $T$ on a manifold $M,$ where $\mathrm{Ric}(g)$ denotes the Ricci curvature of $g$.

The aim of this talk is discuss this problem within the class of naturally reductive metrics when $M$ is a compact simple Lie group.

This talk is based on work in progress with Artem Pulemotov (The University of Queensland).