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Paper detail

Isoparametric submanifolds in two-dimensional complex space forms

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.

preprint2016arXivOpen access
Jose Carlos Diaz-RamosMiguel Dominguez-VazquezCristina Vidal-Castiñeira
math.DG
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Jose Carlos Diaz-RamosMiguel Dominguez-VazquezCristina Vidal-Castiñeira

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