SMS scnews item created by Boris Lishak at Wed 9 Oct 2019 1235
Type: Seminar
Distribution: World
Calendar1: 14 Oct 2019 1200-1300
CalLoc1: Carslaw 375
CalTitle1: Arroyo -- The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups
Auth: borisl@dora.maths.usyd.edu.au

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

Romina Arroyo (Queensland)

October 14, 12:00-13:00 in Carslaw 375

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 $\operatorname{Ric} (g) = c T,$ for some fixed symmetric $$(0, 2)$$-tensor field $$T$$ on a manifold $$M,$$ where $$\operatorname{Ric} (g)$$ 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.