Isoparametric submanifolds in two-dimensional complex space forms
| Autor: | Diaz-Ramos, Jose Carlos, Dominguez-Vazquez, Miguel, Vidal-Castiñeira, Cristina |
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| Rok vydání: | 2016 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. |
| Databáze: | arXiv |
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