Left-invariant Einstein metrics on Lie groups
TimeAug 28 2012 - 1:45pm - 2:45 pm
SpeakerAndrzej Derdzinski (OSU)
AbstractThe question of classifying homogeneous Einstein manifolds has so far been only partially answered. The special case of left-invariant Einstein metrics on Lie groups seems equally vexing. This talk, the first part of a two-talk sequence, concentrates on the latter case. I will outline older existence results of D'Atri and Ziller (1979) and more recent progress made by Heber (1998) and Lauret (2010) towards understanding the moduli and properties of such metrics on solvable Lie groups. I also intend to introduce the more general classes of left- invariant "Einstein connections" and left-invariant pseudo-Riemannian Einstein metrics. These classes and new results about them will be the subject of the second talk.
Last updated by derdzinski.1 on 08/23/12