Three topics on compact homogeneous Einstein manifolds

Abstract: This talk consists of three parts. In the first part, we discuss how to use distinct Lie groups transitive on a given compact manifold $M$ to study of invariant Einstein metrics on $M$. The second topic is devoted to the classification of compact homogeneous Einstein manifolds in low dimensions. In the last part, we consider some examples of compact homogeneous spaces with a large number of invariant Einstein metrics.

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.