2 papers
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…