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Every point in a Riemmanian manifold is critical. [Preprint]

Galaz-Garcia, Fernando; Guijarro, Luis

Abstract:
We prove a structure theorem for closed topological manifolds of cohomogeneity one; this result corrects an oversight in the literature. We complete the equivariant classification of closed, simply connected cohomogeneity one topological manifolds in dimensions 5, 6, and 7 and obtain topological characterizations of these spaces. In these dimensions, these manifolds are homeomorphic to smooth manifolds.


Zugehörige Institution(en) am KIT Institut für Algebra und Geometrie (IAG)
Publikationstyp Buchaufsatz
Jahr 2014
Sprache Englisch
Identifikator KITopen ID: 1000051179
Erschienen in arXiv [math.DG]
Seiten arXiv:1408.4777
URLs http://arxiv.org/abs/1408.4777
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