Cohomogeneity one Alexandrov spaces in low dimensions

2017/10/23 by Galaz-Garcia, Fernando, Zarei, Masoumeh
#53C20 #53C23 #57S10 #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1710.08081

Abstract

We classify closed, simply-connected cohomogeneity-one Alexandrov spaces in dimensions 5, 6 and 7. We show that every closed, simply-connected smooth n-orbifold, 2≤ n≤ 7 with a cohomogeneity one action is equivariantly homeomorphic to a smooth good orbifold of cohomogeneity one.

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