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

Geometry and Topology Seminar

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

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 \[ \operatorname{Ric} (g) = c T, \] 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.

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


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