# Non-closed minimal hypersurfaces of $S^4(1)$ with identically zero Gauss-Kronecker curvature

## Inst. Mathematik

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 $M^3$.