TY - GEN AU - Alarcón López, Antonio AU - Castro Infantes, Ildefonso AU - Hidalgo, Jorge PY - 2024 UR - https://hdl.handle.net/10481/91878 AB - We prove that every open Riemann surface M is the complex structure of a complete surface of constant mean curvature 1 (CMC-1) in the 3-dimensional hyperbolic space H3. We go further and establish a jet interpolation theorem for complete conformal... LA - eng KW - Constant mean curvature surface KW - Bryant surface KW - Regular end TI - Complete CMC-1 surfaces in hyperbolic space with arbitrary complex structure DO - 10.1142/S0219199724500111 ER -