In this paper we study triharmonic hypersurfaces immersed in a space form N n+ 1 (c). We
prove that any proper CMC triharmonic hypersurface in the sphere S n+ 1 has constant …

This article is concerned with the stability of triharmonic maps and in particular triharmonic
hypersurfaces. After deriving a number of general statements on the stability of triharmonic …

In this paper, triharmonic hypersurfaces with constant mean curvature in pseudo-
Riemannian space forms are studied. Under the assumption that the shape operator is …

In this article, we study polyharmonic curves of constant curvature where we mostly focus on
the case of curves on the sphere. We classify polyharmonic curves of constant curvature in …

Abstract Both 4-harmonic and ES-4-harmonic maps are two higher order generalizations of
the well-studied harmonic map equation given by a nonlinear elliptic partial differential …

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 …

We characterize homogeneous hypersurfaces in complex space forms which arise as critical
points of a higher order energy functional. As a consequence, we obtain existence and non …

The purpose of this article is to investigate triharmonic hypersurfaces M tn in a pseudo-
Riemannian space form N t 1 n+ 1 (c). Assuming that the shape operator is diagonalizable …

This article provides an overview on various conservation laws for polyharmonic maps
between Riemannian manifolds. Besides recalling that the variation of the energy for …