Classification of metallic shaped hypersurfaces in real space forms

Authors: CİHAN ÖZGÜR, NİHAL YILMAZ ÖZGÜR

Abstract: We define the notion of a metallic shaped hypersurface and give the full classification of metallic shaped hypersurfaces in real space forms. We deduce that every metallic shaped hypersurface in real space forms is a semisymmetric hypersurface.

Keywords: Hypersurface, real space form, metallic means family, pseudosymmetric hypersurface, semisymmetric hypersurface

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