# HYPERSURFACES WITH POINTWISE 1-TYPE GAUSS MAP

```@inproceedings{Dursun2007HYPERSURFACESWP,
title={HYPERSURFACES WITH POINTWISE 1-TYPE GAUSS MAP},
author={Uˇgur Dursun},
year={2007}
}```
In this paper we prove that an oriented hypersurface \$M\$ of a Euclidean space \$E^{n+1}\$ has pointwise 1-type Gauss map of the first kind if and only if \$M\$ has constant mean curvature. Then we conclude that all oriented isoparametric hypersurfaces of \$E^{n+1}\$ has 1-type Gauss map. We also show that a rational hypersurface of revolution in a Euclidean space \$E^{n+1}\$ has pointwise 1-type Gauss map of the second kind if and only if it is a right n-cone.

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