Classification of product shaped hypersurfaces in Lorentz space forms

Classification of product shaped hypersurfaces in Lorentz space forms

We define the product shaped hypersurfaces in Lorentz space forms by imposing the shape operator to be product type. Based on the classification of the isoparametric hypersurfaces, we obtain the whole families of the product shaped hypersurfaces in Minkowski, de Sitter and anti-de Sitter spaces. nem...

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Veröffentlicht in:Publications de l'Institut mathématique (Belgrade) 2017, Vol.101 (115), p.223-230
Hauptverfasser: Yang, Dan, Le, Hao, Chen, Bingren
Format: Artikel
Sprache:eng
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Zusammenfassung:We define the product shaped hypersurfaces in Lorentz space forms by imposing the shape operator to be product type. Based on the classification of the isoparametric hypersurfaces, we obtain the whole families of the product shaped hypersurfaces in Minkowski, de Sitter and anti-de Sitter spaces. nema
ISSN:0350-1302
1820-7405
DOI:10.2298/PIM1715223Y