Einstein Lie groups, geodesic orbit manifolds and regular Lie subgroups

independent interest for the classification problem of geodesic orbit manifolds. [5/5 of https://t.co/SPQraiO5Ae]

key ingredient of our study is the favorable representation-theoretic behaviour of a wide class of subgroups $K$ that we call (weakly) regular. By-products of our work are structural and characterization results that are of [4/5 of https://t.co/SPQraiO5Ae]

large-scale answers to a relevant open question of Y. Nikonorov. Our approach involves studying and characterizing the $G\times K$-invariant geodesic orbit metrics on Lie groups $G$, where $K$ are certain closed subgroups of $G$. A [3/5 of https://t.co/SPQ

by the property that any geodesic is the integral curve of a Killing vector field. The main results imply that extensive classes of compact simple Einstein Lie groups $(G,g)$ are not geodesic orbit manifolds, thus providing [2/5 of https://t.co/SPQraiO5Ae]