3 papers
math.DG2026
Entire area-minimizing surfaces in of density two are quadratic or planar
Nick Edelen, Luis Atzin Franco Reyna, Paul Minter
We classify any entire area-minimizing surface with density at infinity as either planar or algebraic, namely the zero set of a quadratic holomorphic p…
math.DG2026
Entire area-minimizing surfaces in R^4 are algebraic
Nick Edelen, Luis Atzin Franco Reyna, Paul Minter
We classify entire 2-dimensional area-minimizing or stable surfaces in R^4 with quadratic area growth as algebraic, cut out by a finite union of holomorphic polynomials whose colle…
math.GT2023
Decompositions of three-dimensional Alexandrov spaces
Luis Atzin Franco Reyna, Fernando Galaz-García, José Carlos Gómez-Larrañaga +2
We extend basic results in -manifold topology to general three-dimensional Alexandrov spaces (or Alexandrov -spaces for short), providing a unified framework for manifold and…