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
Fernando Galaz-García's Outputs (30)
Erratum to: Nonnegatively curved fixed point homogeneous 5-manifolds (2013)
Journal Article
Galaz-Garcia, F., & Spindeler, W. (2014). Erratum to: Nonnegatively curved fixed point homogeneous 5-manifolds. Annals of Global Analysis and Geometry, 45(2), 151-153. https://doi.org/10.1007/s10455-013-9402-0
Cohomogeneity-two torus actions on non-negatively curved manifolds of low dimension (2013)
Journal Article
Galaz-Garcia, F., & Kerin, M. (2014). Cohomogeneity-two torus actions on non-negatively curved manifolds of low dimension. Mathematische Zeitschrift, 276(1-2), 133-152. https://doi.org/10.1007/s00209-013-1190-5Let Mn, n ∈ {4, 5, 6}, be a compact, simply connected n-manifold which admits some Riemannian metric with non-negative curvature and an isometry group of maximal possible rank. Then any smooth, effective action on Mn by a torus Tn−2 is equivariantly... Read More about Cohomogeneity-two torus actions on non-negatively curved manifolds of low dimension.
Isometry groups of Alexandrov spaces (2013)
Journal Article
Galaz-Garcia, F., & Guijarro, L. (2013). Isometry groups of Alexandrov spaces. Bulletin of the London Mathematical Society, 45(3), 567-579. https://doi.org/10.1112/blms/bds101
Nonnegatively curved fixed point homogeneous 5-manifolds (2011)
Journal Article
Galaz-Garcia, F., & Spindeler, W. (2012). Nonnegatively curved fixed point homogeneous 5-manifolds. Annals of Global Analysis and Geometry, 41(2), 253-263. https://doi.org/10.1007/s10455-011-9282-0
Nonnegatively curved fixed point homogeneous manifolds in low dimensions (2011)
Journal Article
Galaz-Garcia, F. (2012). Nonnegatively curved fixed point homogeneous manifolds in low dimensions. Geometriae Dedicata, 157(1), 367-396. https://doi.org/10.1007/s10711-011-9615-y
Cohomogeneity one Alexandrov spaces (2011)
Journal Article
Galaz-Garcia, F., & Searle, C. (2011). Cohomogeneity one Alexandrov spaces. Transformation Groups, 16(1), 91-107. https://doi.org/10.1007/s00031-011-9122-0
Low-dimensional manifolds with non-negative curvature and maximal symmetry rank (2010)
Journal Article
Galaz-Garcia, F., & Searle, C. (2010). Low-dimensional manifolds with non-negative curvature and maximal symmetry rank. Proceedings of the American Mathematical Society, 139(7), 2559-2564. https://doi.org/10.1090/s0002-9939-2010-10655-x
Bounds on Characteristic Numbers by Curvature and Radius (2009)
Journal Article
Galaz-Garcia, F. (2009). Bounds on Characteristic Numbers by Curvature and Radius. The Rocky Mountain journal of mathematics, 39(4), 1225-1231. https://doi.org/10.1216/rmj-2009-39-4-1225
Examples of 4-manifolds with almost nonpositive curvature (2008)
Journal Article
Galaz-Garcia, F. (2008). Examples of 4-manifolds with almost nonpositive curvature. Differential Geometry and its Applications, 26(6), 697-703. https://doi.org/10.1016/j.difgeo.2008.10.001