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Proceedings of the Estonian Academy of Sciences

ISSN 1736-7530 (electronic)   ISSN 1736-6046 (print)
Formerly: Proceedings of the Estonian Academy of Sciences, series Physics & Mathematics and  Chemistry
Published since 1952

Proceedings of the Estonian Academy of Sciences

ISSN 1736-7530 (electronic)   ISSN 1736-6046 (print)
Formerly: Proceedings of the Estonian Academy of Sciences, series Physics & Mathematics and  Chemistry
Published since 1952
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Hypersurfaces with pointwise 1-type Gauss map in Lorentz–Minkowski space; 146–161

(Full article in PDF format) doi: 10.3176/proc.2009.3.02


Authors

Uğur Dursun

Abstract

Hypersurfaces of a Lorentz–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.

Keywords

differential geometry, rotation hypersurface, pointwise Gauss map, finite type, mean curvature.

References

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Current Issue: Vol. 68, Issue 3 in Press, 2019




Publishing schedule:
No. 1: 20 March
No. 2: 20 June
No. 3: 20 September
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