A CLASSIFICATION AND A NON-EXISTENCE THEOREM FOR CONFORMALLY FLAT HYPERSURFACES IN EUCLIDEAN 4-SPACE

DOI10.1142/S0129167X0500276XzbMath1073.53018OpenAlexW1964154016MaRDI QIDQ4658719

Yoshihiko Suyama

Publication date: 18 March 2005

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x0500276x

zbMATH Keywords

conformal transformationconformal flatnessgeneric hypersurface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40)

Related Items (4)

Generic conformally flat hypersurfaces and surfaces in 3-sphere ⋮ CONFORMALLY FLAT HYPERSURFACES WITH CYCLIC GUICHARD NET ⋮ Curvilinear coordinates on generic conformally flat hypersurfaces and constant curvature 2-metrics ⋮ Conformally flat hypersurfaces with Bianchi-type Guichard net

Cites Work

• Explicit representation of compact conformally flat hypersurfaces
• Curved flats in symmetric spaces
• Conformally flat hypersurfaces in Euclidean 4-space

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