Geometry and Topology Seminar (2/2)

A Riemannian metric is curvature-homogeneous if its curvature operators at all points are the same, using linear isometries between tangent spaces at different points to compare them. Of course, locally homogeneous metrics are curvature-homogeneous, but, in dimensions > 2, these are far from the only examples. In this talk, I will discuss several new results about curvature-homogeneous manifolds of dimension 4, obtained in joint work with Robert Bryant.