L. Reyna

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math.DG2026

Entire area-minimizing surfaces in $R^{n}$ of density two are quadratic or planar

Nick Edelen, Luis Atzin Franco Reyna, Paul Minter

We classify any entire area-minimizing surface $M^{2} \subset R^{n}$ with density $2$ 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…

Entire area-minimizing surfaces in Rn of density two are quadratic or planar

Entire area-minimizing surfaces in R^4 are algebraic

Entire area-minimizing surfaces in $R^{n}$ of density two are quadratic or planar