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Simply connected Alexandrov 4-manifolds with positive or nonnegative curvature and torus actions. [Preprint]

Galaz-Garcia, Fernando

Abstract: We point out that a 4-dimensional topological manifold with an Alexandrov metric (of curvature bounded below) and with an effective, isometric action of the circle or the 2-torus is locally smooth. This observation implies that the topological and equivariant classifications of compact, simply connected Riemannian 4-manifolds with positive or nonnegative sectional curvature and an effective isometric action of a circle or a 2-torus also hold if we consider Alexandrov manifolds instead of Riemannian manifolds.

Zugehörige Institution(en) am KIT Institut für Algebra und Geometrie (IAG)
Publikationstyp Buchaufsatz
Jahr 2014
Sprache Englisch
Identifikator KITopen ID: 1000051190
Erschienen in arXiv [math.DG]
Seiten arXiv:1208.3041
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