Abstract.
We prove that a properly embedded minimal surface in R 3 of genus zero with infinite symmetry group is a plane, a catenoid, a helicoid or a Riemann minimal example. We introduce the language of Hurwitz schemes to understand the underlying moduli space of surfaces in our setting.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Oblatum 30-V-1997 & 5-VIII-1997
Rights and permissions
About this article
Cite this article
Meeks III, W., Pérez, J. & Ros, A. Uniqueness of the Riemann minimal examples. Invent math 133, 107–132 (1998). https://doi.org/10.1007/s002220050241
Issue Date:
DOI: https://doi.org/10.1007/s002220050241