Isoparametric submanifolds in two-dimensional complex space forms
Differential Geometry
2016-04-06 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1604.01237,
title = {Isoparametric submanifolds in two-dimensional complex space forms},
author = {Jose Carlos Diaz-Ramos and Miguel Dominguez-Vazquez and Cristina Vidal-Castiñeira},
journal= {arXiv preprint arXiv:1604.01237},
year = {2016}
}