Ildefonso Castro-Infantes

activity

20162025

most citedInterpolation by conformal minimal surfaces and directed holomorphic curves

15 citations · 42 across the 11 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.DG2017

Interpolation and optimal hitting for complete minimal surfaces with finite total curvature

Antonio Alarcon, Ildefonso Castro-Infantes, Francisco J. Lopez

We prove that, given a compact Riemann surface $Σ$ and disjoint finite sets $\emptyset \neq = E \subset Σ$ and $Λ \subset Σ$ , every map $Λ \to R^{3}$ extends to a complete conform…

math.DG2017★ 15 cited

Interpolation by conformal minimal surfaces and directed holomorphic curves

Antonio Alarcon, Ildefonso Castro-Infantes

Let $M$ be an open Riemann surface and $n \geq 3$ be an integer. We prove that on any closed discrete subset of $M$ one can prescribe the values of a conformal minimal immersion $M\t…