Díaz Ramos, José CarlosDomínguez Vázquez, MiguelVidal Castiñeira, Cristina2024-10-042024-10-042018Díaz-Ramos, J.C., Domínguez-Vázquez, M. & Vidal-Castiñeira, C. Isoparametric submanifolds in two-dimensional complex space forms. Ann Glob Anal Geom 53, 205–216 (2018).http://hdl.handle.net/10347/35006This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10455-017-9572-2We show that an isoparametric submanifold of a complex hyperbolic plane, according to the definition of Heintze, Liu and Olmos', is an open part of a principal orbit of a polar action. We also show that there exists a non-isoparametric submanifold of the complex hyperbolic plane that is isoparametric according to the definition of Terng's. Finally, we classify Terng-isoparametric submanifolds of two-dimensional complex space forms.engjournal article10.1007/s10455-017-9572-2open access