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

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Showing 2023Show all

2 papers · 1 filter

math.DG2023★ 3 cited

Complete CMC-1 surfaces in hyperbolic space with arbitrary complex structure

Antonio Alarcon, Ildefonso Castro-Infantes, Jorge Hidalgo

We prove that every open Riemann surface is the complex structure of a complete surface of constant mean curvature 1 (CMC-1) in the 3-dimensional hyperbolic space $\mathbb{H}^3…

math.DG2023★ 2 cited

Helicoidal minimal surfaces in the 3-sphere: An approach via spherical curves

Ildefonso Castro, Ildefonso Castro-Infantes, Jesús Castro-Infantes

We prove an existence and uniqueness theorem about spherical helicoidal (in particular, rotational) surfaces with prescribed mean or Gaussian curvature in terms of a continuous fun…