Complete minimal hypersurfaces in the hyperbolic space ℍ⁴ with vanishing Gauss-Kronecker curvature

Hasanis, T.; Savas-Halilaj, A.; Vlachos, T.

doi:10.1090/S0002-9947-07-04231-6

Complete minimal hypersurfaces in the hyperbolic space $\mathbb {H}^{4}$ with vanishing Gauss-Kronecker curvature
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by T. Hasanis, A. Savas-Halilaj and T. Vlachos PDF

Trans. Amer. Math. Soc. 359 (2007), 2799-2818 Request permission

Abstract:

We investigate 3-dimensional complete minimal hypersurfaces in the hyperbolic space $\mathbb {H}^{4}$ with Gauss-Kronecker curvature identically zero. More precisely, we give a classification of complete minimal hypersurfaces with Gauss-Kronecker curvature identically zero, a nowhere vanishing second fundamental form and a scalar curvature bounded from below.

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