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

Mathematics – Differential Geometry

Scientific paper

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15 pages. To appear in Hokkaido Mathematical Journal

Scientific paper

We give a partial local description of minimal hypersurfaces $M^3$ with
identically zero Gau\ss-Kronecker curvature function in the unit 4-sphere
$\Bbb{S}^4(1)$, without assumption on the compactness of $M^3$.

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