Abstract
Hypersurfaces of a Lorentz-Minkowski space L(superscript n+1) with pointwise 1-type Gauss map are characterized. We prove that an oriented hypersurface M(superscript q) in L(superscript n+1) has pointwise 1-type Gauss map of the first kind if and only if M(superscript q) has constant mean curvature and conclude that all oriented isoparametric hypersurfaces in L(superscript n+1) have 1-type Gauss map. Then we classify rational rotation hypersurfaces of L(superscript n+1) with pointwise 1-type Gauss map and give some examples.
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