Geodesic
Minimal hypersurfaces in $\mathbb{S}^5$ with vanishing Gauss--Kronecker curvature
Izvestiya. Mathematics , Tome 82 (2018) no. 3, pp. 477-493

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We give a local description of complete minimal hypersurfaces in $\mathbb{S}^5$ with zero Gauss–Kronecker curvature, zero $3$-mean curvature and nowhere-zero second fundamental form.
Keywords: Gauss–Kronecker curvature, complete hypersurfaces.
Mots-clés : minimal hypersurfaces 
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     author = {M. M. Diniz and J. A. Vilhena and J. F. Zapata},
     title = {Minimal hypersurfaces in $\mathbb{S}^5$ with vanishing {Gauss--Kronecker} curvature},
     journal = {Izvestiya. Mathematics },
     pages = {477--493},
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     number = {3},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2018_82_3_a1/}
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M. M. Diniz; J. A. Vilhena; J. F. Zapata. Minimal hypersurfaces in $\mathbb{S}^5$ with vanishing Gauss--Kronecker curvature. Izvestiya. Mathematics , Tome 82 (2018) no. 3, pp. 477-493. http://geodesic.mathdoc.fr/item/IM2_2018_82_3_a1/