Conformally flat hypersurfaces in Euclidean 4-space

DOI10.1017/S0027763000007273zbMath1003.53043OpenAlexW1568206255MaRDI QIDQ4498157

Yoshihiko Suyama

Publication date: 15 January 2003

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000007273

zbMATH Keywords

Gauss curvatureconformally flat hypersurfaceRiemannian product manifold

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (8)

Generic conformally flat hypersurfaces and surfaces in 3-sphere ⋮ Conformally flat Lorentzian hypersurfaces in \(\mathbb{R}_1^4\) with a pair of complex conjugate principal curvatures ⋮ A Möbius scalar curvature rigidity on compact conformally flat hypersurfaces in \(\mathbb{S}^{n + 1}\) ⋮ Conformally flat Lorentzian hypersurfaces in \(\mathbb R_1^4\) with three distinct principal curvatures ⋮ Curvilinear coordinates on generic conformally flat hypersurfaces and constant curvature 2-metrics ⋮ The complete classification of a class of conformally flat Lorentzian hypersurfaces in ℝ14 ⋮ A CLASSIFICATION AND A NON-EXISTENCE THEOREM FOR CONFORMALLY FLAT HYPERSURFACES IN EUCLIDEAN 4-SPACE ⋮ A duality for conformally flat hypersurfaces

This page was built for publication: Conformally flat hypersurfaces in Euclidean 4-space