[{"type":"chapter","title":"Nonnegatively curved fixed point homogeneous 5-manifolds. [Preprint]","issued":{"date-parts":[["2011"]]},"page":"arXiv:1105.0551","container-title":"arXiv [math.DG]","author":[{"family":"Galaz-Garcia","given":"Fernando"},{"family":"Spindeler","given":"Wolfgang"}],"abstract":"Let G be a compact Lie group acting effectively by isometries on a compact Riemannian manifold M with nonempty fixed point set Fix(M,G). We say that the action is \\emph{fixed point homogeneous} if G acts transitively on a normal sphere to some component of Fix(M,G), equivalently, if Fix(M,G) has codimension one in the orbit space of the action. We classify up to diffeomorphism closed, simply connected 5-manifolds with nonnegative sectional curvature and an effective fixed point homogeneous isometric action of a compact Lie group.","kit-publication-id":"1000051169"}]