Mathematics > Differential Geometry
arXiv:2606.15795 (math)
[Submitted on 14 Jun 2026]
Abstract:We classify any entire area-minimizing surface $M^2\subset\mathbf{R}^n$ with density $2$ at infinity as either planar or algebraic, namely the zero set of a quadratic holomorphic polynomial (up to rigid motion) and contained within an affine copy of $\mathbf{R}^4$. In particular, $M$ is either planar, or smooth, multiplicity one, and genus zero.
Submission history
From: Paul Minter [view email]
[v1]
Sun, 14 Jun 2026 13:00:20 UTC (39 KB)
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