TY - GEN AU - Castro Infantes, Ildefonso AU - Hidalgo, Jorge PY - 2024 UR - https://hdl.handle.net/10481/93920 AB - We prove that on every compact Riemann surface M, there is a Cantor set C ⊂ M such that M\C admits a proper conformal constant mean curvature one (CMC-1) immersion into hyperbolic 3-space H3. Moreover, we obtain that every bordered Riemann surface... LA - eng PB - Springer Nature KW - CMC-1 surface KW - CMC-1 face KW - Riemann surface TI - CMC-1 Surfaces in Hyperbolic and de Sitter Spaces with Cantor Ends DO - 10.1007/s00009-024-02707-z ER -