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

DOI10.1090/S0002-9947-07-04231-6zbMath1113.53038arXivmath/0504011WikidataQ126028689 ScholiaQ126028689MaRDI QIDQ3425958

Thomas Hasanis, Theodoros Vlachos, Andreas Savas-Halilaj

Publication date: 7 March 2007

Published in: Mathematical Proceedings of the Cambridge Philosophical Society, Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504011

zbMATH Keywords

second fundamental formminimal hypersurfacehyperbolic spaceGauss-Kronecker curvaturestationary surfacefour-dimensional sphere

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (9)

Unnamed Item ⋮ On the stability of stationary surfaces in \(S^{4}_{1}\) ⋮ On deformable minimal hypersurfaces in space forms ⋮ Minimal hypersurfaces in $ {\mathbb{S}}^5$ with vanishing Gauss–Kronecker curvature ⋮ Complete minimal submanifolds with nullity in Euclidean space ⋮ The Gauss-Kronecker curvature of minimal hypersurfaces in four-dimensional space forms ⋮ Complete minimal submanifolds with nullity in the hyperbolic space ⋮ Complete hypersurfaces in a 4-dimensional hyperbolic space ⋮ Complete minimal hypersurfaces in the hyperbolic space ℍ⁴ with vanishing Gauss-Kronecker curvature

Cites Work

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