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math.DG2012★ 2 cited
Simply connected Alexandrov 4-manifolds with positive or nonnegative curvature and torus actions
Fernando Galaz-Garcia
We point out that a 4-dimensional topological manifold with an Alexandrov metric (of curvature bounded below) and with an effective, isometric action of the circle or the 2-torus i…
math.DG2012
Low-dimensional manifolds with non-negative curvature and maximal symmetry rank
Fernando Galaz-Garcia, Catherine Searle
We classify closed, simply connected -manifolds of non-negative sectional curvature admitting an isometric torus action of maximal symmetry rank in dimensions . I…
math.DG2012★ 1 cited
A note on maximal symmetry rank, quasipositive curvature, and low dimensional manifolds
Fernando Galaz-Garcia
We show that any effective isometric torus action of maximal rank on a compact Riemannian manifold with positive (sectional) curvature and maximal symmetry rank, that is, on a posi…