Showing math.DGShow all
3 papers · 1 filter
math.DG2026
On biharmonic conformal hypersurfaces
A. Mohammed Cherif, Ye-Lin Ou
In this paper, we first derive biharmonic equation for conformal hypersurfaces in a generic Riemannian manifold generalizing that for biharmonic hypersurfaces in \cite{Ou1} and tha…
math.DG2024
Biharmonic functions and bi-eigenfunctions on some model spaces
Ye-Lin Ou
In this paper, we first give a convenient formula for bi-Laplacian on a sphere and the complete description of its eigenvalues, buckling eigenvalues, and their corresponding eigenf…
math.DG2024
A short survey on biharmonic Riemannian submersions
Ye-Lin Ou
The study of biharmonic submanifolds, initiated by B. Y. Chen and G. Y. Jiang independently, has received a great attention in the past 30 years with many important progress. This…