Complete minimal hypersurfaces of $S^4$ with zero Gauss-Kronecker curvature
T. Hasanis, A. Savas-Halilaj, T. Vlachos
TL;DR
This paper studies the structure of 3D complete minimal hypersurfaces in the 4-sphere with zero Gauss-Kronecker curvature, providing insights into their geometric properties.
Contribution
It offers a detailed analysis of minimal hypersurfaces with zero Gauss-Kronecker curvature in the sphere, a topic not fully explored before.
Findings
Characterization of the structure of such hypersurfaces
Conditions under which these hypersurfaces are classified
New geometric properties identified for these hypersurfaces
Abstract
We investigate the structure of 3-dimensional complete minimal hypersurfaces in the unit sphere with Gauss-Kronecker curvature identically zero.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Geometry and complex manifolds