27 citations · 87 across the 21 of their papers we have counts for
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math.DG2009★ 1 cited
Nonnegatively curved fixed point homogeneous manifolds in low dimensions
Fernando Galaz-Garcia
Let be a compact Lie group acting isometrically on a compact Riemannian manifold with nonempty fixed point set . We say that is fixed-point homogeneous if acts…
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…