Francisco J. López

most citedProper harmonic embeddings of open Riemann surfaces into

R^{4}

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

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.DG2025

On the Gauss map assignment for minimal surfaces and the Osserman curvature estimate

Antonio Alarcon, Francisco J. Lopez

The Gauss map of a conformal minimal immersion of an open Riemann surface $M$ into $R^{n}$ , $n \geq 3$ , is a holomorphic map $M \to Q^{n - 2} \subset CP^{n - 1}$ . Deno…

math.DG2025

Generic properties of minimal surfaces

Antonio Alarcon, Francisco J. Lopez

Let $M$ be an open Riemann surface and $n \geq 3$ be an integer. In this paper we establish some generic properties (in Baire category sense) in the space of all conformal minimal im…

Proper harmonic embeddings of open Riemann surfaces into R4

On the Gauss map assignment for minimal surfaces and the Osserman curvature estimate

Generic properties of minimal surfaces

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