9 citations · 9 across the 4 of their papers we have counts for
4 papers
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…
Curvature surfaces in generic conformally flat hypersurfaces arising from Poincaré metric -- Extension and Approximation
Nozomu Matsuura, Yoshihiko Suyama
We study generic conformally flat (analytic-)hypersurfaces in the Euclidean -space . Such a local-hypersurface is obtained as an evolution of surfaces issuing from…
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…
Curvilinear coordinates on generic conformally flat hypersurfaces and constant curvature 2-metrics
Francis E. Burstall, Udo Hertrich-Jeromin, Yoshihiko Suyama
There is a one-to-one correspondence between associated families of generic conformally flat (local-)hypersurfaces in 4-dimensional space forms and conformally flat 3-metrics with…