Complete minimal hypersurfaces in the hyperbolic space $\mathbb{H}^4$ with vanishing Gauss-Kronecker curvature
Differential Geometry
2024-04-17 v1
Abstract
We investigate 3-dimensional complete minimal hypersurfaces in the hyperbolic space with Gauss-Kronecker curvature identically zero. More precisely, we give a classification of complete minimal hypersurfaces with Gauss-Kronecker curvature identically zero, nowhere vanishing second fundamental form and scalar curvature bounded from below.
Keywords
Cite
@article{arxiv.math/0504011,
title = {Complete minimal hypersurfaces in the hyperbolic space $\mathbb{H}^4$ with vanishing Gauss-Kronecker curvature},
author = {T. Hasanis and A. Savas-Halilaj and T. Vlachos},
journal= {arXiv preprint arXiv:math/0504011},
year = {2024}
}