Outputs (36)

Cohomogeneity one Alexandrov spaces in low dimensions (2020)
Journal Article
Galaz-García, F., & Zarei, M. (2020). Cohomogeneity one Alexandrov spaces in low dimensions. Annals of Global Analysis and Geometry, 58(2), 109-146. https://doi.org/10.1007/s10455-020-09716-7

Alexandrov spaces are complete length spaces with a lower curvature bound in the triangle comparison sense. When they are equipped with an effective isometric action of a compact Lie group with one-dimensional orbit space, they are said to be of coho... Read More about Cohomogeneity one Alexandrov spaces in low dimensions.

Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions (2020)
Journal Article
Corro, D., & Galaz-García, F. (2020). Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions. Proceedings of the American Mathematical Society, 148(7), 3087-3097. https://doi.org/10.1090/proc/14961

We show that for each n 1, there exist infinitely many spin and non-spin diffeomorphism types of closed, smooth, simply-connected (n + 4)- manifolds with a smooth, effective action of a torus T n+2 and a metric of positive Ricci curvature invariant u... Read More about Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions.

Torus actions on rationally elliptic manifolds (2020)
Journal Article
Galaz-García, F., Kerin, M., & Radeschi, M. (2021). Torus actions on rationally elliptic manifolds. Mathematische Zeitschrift, 297, 197-221. https://doi.org/10.1007/s00209-020-02508-6

An upper bound is obtained on the rank of a torus which can act smoothly and effectively on a smooth, closed (simply connected) rationally elliptic manifold. In the maximal-rank case, the manifolds admitting such actions are classified up to equivari... Read More about Torus actions on rationally elliptic manifolds.

Three-dimensional Alexandrov spaces with local isometric circle actions (2020)
Journal Article
Galaz-García, F., & Núñez-Zimbrón, J. (2020). Three-dimensional Alexandrov spaces with local isometric circle actions. Kyoto journal of mathematics, 60(3), 801-823. https://doi.org/10.1215/21562261-2019-0047

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

Contributions of Mexican Mathematicians Abroad in Pure and Applied Mathematics (2018)
Book
Galaz-García, F., Pardo Millán, J. C., & Solórzano, P. (Eds.). (2018). Contributions of Mexican Mathematicians Abroad in Pure and Applied Mathematics. American Mathematical Society. https://doi.org/10.1090/conm/709

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.