Rune Suhr: On the 4 dimensional naturally reductive homogeneous Riemannian manifolds
Rune Suhr, Stockholm university
Tid: Fr 2013-10-18 kl 13.15
Plats: Room 306, building 6, Kräftriket, Department of mathematics, Stockholm university
The naturally reductive homogeneous spaces are homogeneous Riemannian spaces, i.e. Riemannian manifolds with a transitive action of the isometry group, with a simple metric, which yields among other things a particularly simple expression for the curvature R(X,Y,Y,X). There exists complete classifications for the spaces in dimensions 3,4 and 5, and we will sketch the proof of the classification of the 4 dimensional spaces.