On the stability of homogeneous standard Einstein manifolds

Abstract: We will study the stability type of compact homogeneous Einstein manifolds as critical points of the normalized total scalar curvature functional. We will focus on standard Einstein manifolds $G/K$ with $G$ simple, which were classified by Wang and Ziller.

This is work in progress in collaboration with Jorge Lauret.

differential geometry

Audience: researchers in the topic

Workshop on compact homogeneous Einstein manifolds

Series comments: The workshop aims at bringing together mathematicians that have contributed and are contributing to the study of Einstein metrics on the challenging class of all compact homogeneous spaces.