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

Lusala, Tsasa2022-05-112022-05-112002-10-182197-8085https://depositonce.tu-berlin.de/handle/11303/16913http://dx.doi.org/10.14279/depositonce-15691We 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 $M^3$.en510 Mathematikminimal hypersurfaces in spheresisoparametric hypersurfacesidentically zero Gauss-Kronecker curvaturenowhere zero second fundamental formNon-closed minimal hypersurfaces of $S^4(1)$ with identically zero Gauss-Kronecker curvatureResearch Paper