Classification of product shaped hypersurfaces in Lorentz space forms | Zendy

Dan Yang | Zendy; Le Hao | Zendy; Bingren Chen | Zendy

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Classification of product shaped hypersurfaces in Lorentz space forms

Author(s) -

Dan Yang,

Le Hao,

Bingren Chen

Publication year - 2017

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1715223y

Subject(s) - minkowski space , de sitter space , product (mathematics) , lorentz transformation , anti de sitter space , mathematics , pure mathematics , de sitter universe , lorentz space , space (punctuation) , mathematical analysis , mathematical physics , physics , geometry , classical mechanics , computer science , universe , quantum mechanics , operating system

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.

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