2 papers
math.DG2024
-Biharmonic hypersurfaces into a conformally flat space
Ze-Ping Wang, Li-Hua Qin, Xue-Yi Chen
We first study -biharmonicity of totally umbilical hypersurfaces in a generic Riemannian manifold and then prove that any totally umbilical proper -biharmonic hypersurface in…
math.DG2024
Biharmonic conformal immersions into a 3-dimensional conformally flat space
Ze-Ping Wang, Xue-Yi Chen
Inspired by the work of Ou [12,17], we study biharmonic conformal immersions of surfaces into a conformally flat 3-space. We first give a characterization of biharmonic conformal i…