Author(s) :
Tsasa Lusala
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 747-2002
MSC 2000
- 53B25 Local submanifolds
-
53C40 Global submanifolds
Abstract :
We give a partial local description of minimal hypersurfaces $M^3$ with identically zero Gau\ss-Kronecker curvature function in the unit $4$-sphere $S^4{1}$, without assumption on the compactness of $M^3$.
Keywords :
Minimal hypersurfaces in spheres, isoparametric hypersurfaces, identically zero Gauss-Kronecker curvature, nowhere zero second fundamental form.