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math.DG2025
Dual pairs of generic conformally flat hypersurfaces
Yoshihiko Suyama
We study generic conformally flat (local-)hypersurfaces in the Euclidean 4-space . Such a hypersurface has the dual (hypersurface) in , which…
math.DG2020
Generic conformally flat hypersurfaces and surfaces in 3-sphere
Yoshihiko Suyama
The aim of this paper is to verify that the study of generic conformally flat hypersurfaces in 4-dimensional space forms is reduced to a surface theory in the standard 3-sphere. Th…