2016/04/05 by Diaz-Ramos, Jose Carlos, Dominguez-Vazquez, Miguel, Vidal-Castiñeira, Cristina
#53C12 #53C35 #53C40 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1604.01237
We 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.