Non-closed minimal hypersurfaces of $\Bbb{S^4}(1)$ with identically zero Gauß-Kronecker curvature

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65308We give a partial local description of minimal hypersurfaces $M^3$ with identically zero Gauß-Kronecker curvature function in the unit 4-sphere $\Bbb{S}^4(1)$, without assumption on the compactness of $M^3$.15 pages. To appear in Hokkaido Mathematical JournalDifferential Geometry53B25; 53C40Non-closed minimal hypersurfaces of $\Bbb{S^4}(1)$ with identically zero Gauß-Kronecker curvaturetext