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Hipersuperficies isoparamétricas en el espacio hiperbólico complejo
- Autor/a
- Sanmartín López, Víctor
The main aim of this work is to tackle the classication problem of isoparametric hypersurfaces in CHn. We start with the presentation of the complex hyperbolic space CHn and describe it as a homogeneous space. Then, we study the shape operator of these hypersurfaces taking into account the relation between the complex hyperbolic space and the anti-De Sitter space. Using the Iwasawa decomposition, we also construct the examples of the classication we intend to obtain. We nally present the rst steps towards this classication result.
Data sheet
- Edition
- 1
- Publication place
- Santiago de Compostela
- Publication Year
- 2018
- Serie
- 131a Publicaciones del Departamento de Geometría y Topología
- Availability
- Si
The main aim of this work is to tackle the classication problem of isoparametric hypersurfaces in CHn. We start with the presentation of the complex hyperbolic space CHn and describe it as a homogeneous space. Then, we study the shape operator of these hypersurfaces taking into account the relation between the complex hyperbolic space and the anti-De Sitter space. Using the Iwasawa decomposition, we also construct the examples of the classication we intend to obtain. We nally present the rst steps towards this classication result.