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arXiv · 1604.01237

Isoparametric submanifolds in two-dimensional complex space forms

Jose Carlos Diaz-Ramos·Miguel Dominguez-Vazquez·Cristina Vidal-Castiñeira
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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.

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Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Cristina Vidal-Castiñeira. 2016-04-05. Isoparametric submanifolds in two-dimensional complex space forms. https://arxiv.org/abs/1604.01237

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