43 citations · 229 across the 45 of their papers we have counts for
45 papers
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…
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…
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…
Harmonic and biharmonic Riemannain submersions from Sol space
Ze-Ping Wang, Ye-Lin Ou, Qi-Long Liu
In this paper, we give a complete classification of harmonic and biharmonic Riemannian submersions from Sol space into a surface by proving that there…
Biharmonic isometric immersions into and biharmonic Riemannian submersions from Berger 3-spheres
Ze-Ping Wang, Ye-Lin Ou
In this paper, we study biharmonic isometric immersions of a surface into and biharmonic Riemannian submersion from 3-dimensional Berger spheres. We obtain a classification of prop…
Harmonic Riemannian submersions from 3-dimensional geometries
Ze-Ping Wang, Ye-Lin Ou, Yong-Gui Luo
In this paper, we study harmonic Riemannian submersions from 3-dimensional geometries using the ( generalized) integrability data associated to an orthonormal frame natural to a Ri…