A. Alarcón

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20242026

most citedProper harmonic embeddings of open Riemann surfaces into

R^{4}

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math.DG2026★ 1 cited

Proper harmonic embeddings of open Riemann surfaces into $R^{4}$

Antonio Alarcon, Francisco J. Lopez

We prove that every open Riemann surface admits a proper embedding into $R^{4}$ by harmonic functions. This reduces by one the previously known embedding dimension in this f…

math.DG2024

A strong parametric h-principle for complete minimal surfaces

Antonio Alarcon, Finnur Larusson

We prove a parametric h-principle for complete nonflat conformal minimal immersions of an open Riemann surface $M$ into $R^{n}$ , $n \geq 3$ . It follows that the inclusion of t…

Proper harmonic embeddings of open Riemann surfaces into R4

A strong parametric h-principle for complete minimal surfaces

Proper harmonic embeddings of open Riemann surfaces into $R^{4}$