In this short paper we will survey some recent developments in the geometric theory of
biharmonic submanifolds, with an emphasis on the newly discovered Liouville type …

In this note we prove a nonexistence result for proper biharmonic maps from complete non-
compact Riemannian manifolds of dimension m= dim M≥ 3 with infinite volume that admit a …

In this paper, we first study the minimality of triharmonic hypersurfaces with constant mean
curvature in pseudo-Riemannian space forms under the assumption that the shape operator …

In this short note we study a nonexistence result of biharmonic maps from a complete
Riemannian manifold into a Riemannian manifold with nonpositive sectional curvature …

In this paper, we introduce the notion of p-biharmonic submanifold. By using integral by
parts, we obtain that any complete p-biharmonic submanifold (M, g) in a Riemannian …

We prove a Liouville-type theorem for biharmonic maps from a complete Riemannian
manifold of dimension nn that has a lower bound on its Ricci curvature and positive …

By using the integral method, we prove a rigidity theorem for spacelike self-shrinkers in
pseudo-Euclidean space under a minor growth condition in terms of the mean curvature and …

We consider a complete biharmonic hypersurface with nowhere zero mean curvature vector
field $\phi:(M^ m, g)\rightarrow (S^{m+ 1}, h) $ in a sphere. If the squared norm of the second …

In this paper, we prove that the class of bi-f-harmonic maps and that of f-biharmonic maps
from a conformal manifold of dimension ≥ 3≥ 3 are the same (Theorem 1.1). We also give …

In this note we prove a nonexistence result for proper biharmonic maps from complete non-
compact Riemannian manifolds of dimension\(m=\dim M\geq 3\) with infinite volume that …