Abstract
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.
Citation
Ugur Dursun. "HYPERSURFACES WITH POINTWISE 1-TYPE GAUSS MAP." Taiwanese J. Math. 11 (5) 1407 - 1416, 2007. https://doi.org/10.11650/twjm/1500404873
Information
