Outputs (29)

Finiteness and realization theorems for Alexandrov spaces with bounded curvature (2019)
Journal Article
Galaz-García, F., & Tuschmann, W. (2020). Finiteness and realization theorems for Alexandrov spaces with bounded curvature. Boletín de la Sociedad Matemática Mexicana, 26(2), 749-756. https://doi.org/10.1007/s40590-019-00262-2

On quotients of spaces with Ricci curvature bounded below (2018)
Journal Article
Galaz-García, F., Kell, M., Mondino, A., & Sosa, G. (2018). On quotients of spaces with Ricci curvature bounded below. Journal of Functional Analysis, 275(6), 1368-1446. https://doi.org/10.1016/j.jfa.2018.06.002

Cohomogeneity one topological manifolds revisited (2017)
Journal Article
Galaz-García, F., & Zarei, M. (2018). Cohomogeneity one topological manifolds revisited. Mathematische Zeitschrift, 288(3-4), 829-853. https://doi.org/10.1007/s00209-017-1915-y

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... Read More about Cohomogeneity one topological manifolds revisited.

Three-Dimensional Alexandrov Spaces with Positive or Nonnegative Ricci Curvature (2017)
Journal Article
Deng, Q., Galaz-García, F., Guijarro, L., & Munn, M. (2018). Three-Dimensional Alexandrov Spaces with Positive or Nonnegative Ricci Curvature. Potential Analysis, 48(2), 223-238. https://doi.org/10.1007/s11118-017-9633-y

Torus Orbifolds, Slice-Maximal Torus Actions, and Rational Ellipticity (2017)
Journal Article
Galaz-García, F., Kerin, M., Radeschi, M., & Wiemeler, M. (2018). Torus Orbifolds, Slice-Maximal Torus Actions, and Rational Ellipticity. International Mathematics Research Notices, 2018(18), 5786-5822. https://doi.org/10.1093/imrn/rnx064

In this work, it is shown that a simply connected, rationally elliptic torus orbifold is equivariantly rationally homotopy equivalent to the quotient of a product of spheres by an almost-free, linear torus action, where this torus has rank equal to t... Read More about Torus Orbifolds, Slice-Maximal Torus Actions, and Rational Ellipticity.

A glance at three-dimensional Alexandrov spaces (2016)
Journal Article
Galaz-García, F. (2016). A glance at three-dimensional Alexandrov spaces. Frontiers of Mathematics in China, 11(5), 1189-1206. https://doi.org/10.1007/s11464-016-0582-3

Singular Riemannian foliations and applications to positive and non-negative curvature (2015)
Journal Article
Galaz-Garcia, F., & Radeschi, M. (2015). Singular Riemannian foliations and applications to positive and non-negative curvature. Journal of Topology, 8(3), 603-620. https://doi.org/10.1112/jtopol/jtv004

Every point in a Riemannian manifold is critical (2015)
Journal Article
Galaz-García, F., & Guijarro, L. (2015). Every point in a Riemannian manifold is critical. Calculus of Variations and Partial Differential Equations, 54(2), 2079-2084. https://doi.org/10.1007/s00526-015-0857-7

Nonnegatively curved 5–manifolds with almost maximal symmetry rank (2014)
Journal Article
Galaz-Garcia, F., & Searle, C. (2014). Nonnegatively curved 5–manifolds with almost maximal symmetry rank. Geometry & Topology, 18(3), 1397-1435. https://doi.org/10.2140/gt.2014.18.1397

On Three-Dimensional Alexandrov Spaces (2014)
Journal Article
Galaz-Garcia, F., & Guijarro, L. (2014). On Three-Dimensional Alexandrov Spaces. International Mathematics Research Notices, 2015(14), 5560-5576. https://doi.org/10.1093/imrn/rnu101