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Low-dimensional manifolds with non-negative curvature and maximal symmetry rank. [Preprint]

Galaz-Garcia, Fernando; Searle, Catherine

Abstract:
We classify closed, simply connected n-manifolds of non-negative sectional curvature admitting an isometric torus action of maximal symmetry rank in dimensions 2≤n≤6. In dimensions 3k, k=1,2 there is only one such manifold and it is diffeomorphic to the product of k copies of the 3-sphere.


Zugehörige Institution(en) am KIT Institut für Algebra und Geometrie (IAG)
Publikationstyp Buchaufsatz
Jahr 2012
Sprache Englisch
Identifikator KITopen ID: 1000051173
Erschienen in arXiv [math.DG]
Seiten arXiv:1207.6173
URLs http://arxiv.org/abs/1207.6173
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