Hypersurfaces with pointwise 1-type Gauss map in Lorentz–Minkowski space; 146–161

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2009 English Publisher:Estonian Academy PublishersJournal:Proceedings of the Estonian Academy of Sciences, volume 58, pages 146-161 (issn: 1736-6046,

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Authors: Uğur Dursun;

doi: 10.3176/proc.2009.3.02

Hypersurfaces with pointwise 1-type Gauss map in Lorentz–Minkowski space; 146–161

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Abstract

Hypersurfaces of a Lorentzâ€“Minkowski space Ln+1 with pointwise 1-type Gauss map are characterized. We prove that an oriented hypersurface Mq in Ln+1 has pointwise 1-type Gauss map of the first kind if and only if Mq has constant mean curvature and conclude that all oriented isoparametric hypersurfaces in Ln+1 have 1-type Gauss map. Then we classify rational rotation hypersurfaces of Ln+1 with pointwise 1-type Gauss map and give some examples.

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