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Nonnegatively curved fixed point homogeneous 5-manifolds. [Preprint]

Galaz-Garcia, Fernando; Spindeler, 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.


Zugehörige Institution(en) am KIT Institut für Algebra und Geometrie (IAG)
Publikationstyp Buchaufsatz
Jahr 2011
Sprache Englisch
Identifikator KITopen ID: 1000051169
Erschienen in arXiv [math.DG]
Seiten arXiv:1105.0551
URLs http://arxiv.org/abs/1105.0551
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