Outputs (3)

Kurdyka–Łojasiewicz functions and mapping cylinder neighborhoods (2022)
Journal Article
Cibotaru, D., & Galaz-García, F. (in press). Kurdyka–Łojasiewicz functions and mapping cylinder neighborhoods. Annales de l'Institut Fourier,

Kurdyka–Łojasiewicz (KŁ) functions are real-valued functions characterized by a differential inequality involving the norm of their gradient. This class of functions is quite rich, containing objects as diverse as subanalytic, transnormal or Morse fu... Read More about Kurdyka–Łojasiewicz functions and mapping cylinder neighborhoods.

Three-dimensional Alexandrov spaces: A survey (2022)
Book Chapter
Galaz-García, F., & Núñez-Zimbrón, J. (2022). Three-dimensional Alexandrov spaces: A survey. In G. Arizmendi Echegaray, L. Hernández-Lamoneda, & R. Herrera Guzmán (Eds.), Recent Advances in Alexandrov Geometry (49-88). Springer Verlag. https://doi.org/10.1007/978-3-030-99298-9_2

We survey several results concerning the geometry and topology of threedimensional Alexandrov spaces with the aim of providing a panoramic and up-to-date view of the subject. In particular we present the classification of positively and nonnegatively... Read More about Three-dimensional Alexandrov spaces: A survey.

Cohomogeneity one manifolds and homogeneous spaces of positive scalar curvature (2022)
Journal Article
Frenck, G., Galaz‐García, F., & Reiser, P. (2022). Cohomogeneity one manifolds and homogeneous spaces of positive scalar curvature. Bulletin of the London Mathematical Society, 54(1), 71-82. https://doi.org/10.1112/blms.12557

We characterize cohomogeneity one manifolds and homogeneous spaces with a compact Lie group action admitting an invariant metric with positive scalar curvature.