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Cohomogeneity-two torus actions on non-negatively curved manifolds of low dimension. [Preprint]

Galaz-Garcia, Fernando; Kerin, Martin

Let Mn, n∈{4,5,6}, be a compact, simply connected n-manifold which admits some Riemannian metric with non-negative curvature and an isometry group of maximal possible rank. Then any smooth, effective action on Mn by a torus Tn−2 is equivariantly diffeomorphic to an isometric action on a normal biquotient. Furthermore, it follows that any effective, isometric circle action on a compact, simply connected, non-negatively curved four-dimensional manifold is equivariantly diffeomorphic to an effective, isometric action on a normal biquotient.

Zugehörige Institution(en) am KIT Institut für Algebra und Geometrie (IAG)
Publikationstyp Buchaufsatz
Jahr 2011
Sprache Englisch
Identifikator KITopen-ID: 1000051165
Erschienen in arXiv [math.DG]
Seiten arXiv:1111.1640
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