Einstein Lie groups, geodesic orbit manifolds and regular Lie subgroups
Nikolaos Panagiotis Souris
Abstract:We study the relation between two special classes of Riemannian Lie groups G with a left-invariant metric g: The Einstein Lie groups, defined by the condition Ricg = cg, and the geodesic orbit Lie groups, defined 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 large-scale answers to a relevant open question of Y. Nikonorov. Our approach i… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.