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

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We 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 Journal

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