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math.DG2009
Cohomogeneity One Alexandrov Spaces
Fernando Galaz-Garcia, Catherine Searle
We obtain a structure theorem for closed, cohomogeneity one Alexandrov spaces and we classify closed, cohomogeneity one Alexandrov spaces in dimensions 3 and 4. As a corollary, we…
math.DG2009★ 3 cited
Non-negatively Curved Manifolds with Maximal Symmetry Rank in Low Dimensions
Fernando Galaz-Garcia, Catherine Searle
We classify closed, simply-connected non-negatively curved 5-manifolds admitting an (almost) effective, isometric or action. As a direct consequence, we show that for a…