During the last four decades, there were numerous important developments on total mean
curvature and the theory of finite type submanifolds. This unique and expanded second …

A short survey on biharmonic maps between Riemannian manifolds SciELO - Scientific
Electronic Library Online vol.47 número2 II Encuentro de Geometría Diferencial: 6 al 11 de junio …

We study biharmonic hypersurfaces in a generic Riemannian manifold. We first derive an
invariant equation for such hypersurfaces generalizing the biharmonic hypersurface …

Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor |
Annali di Matematica Pura ed Applicata (1923 -) Skip to main content SpringerLink Account …

We obtain several rigidity results for biharmonic submanifolds in S^n with parallel
normalized mean curvature vector fields. We classify biharmonic submanifolds in S^n with …

In this paper, using the framework of equivariant differential geometry, we study proper SO
(p+ 1) * SO (q+ 1) SO (p+ 1)× SO (q+ 1)-invariant biconservative hypersurfaces into the …

A curve of constant slope or general helix is defined by the property that the tangent makes a
constant angle with a fixed straight line (the axis of the helix). A classical result stated by MA …

Biconservative surfaces of Riemannian 3-space forms $ N^ 3 (\rho) $, are either constant
mean curvature (CMC) surfaces or rotational linear Weingarten surfaces verifying the …

We prove that a totally umbilical biharmonic surface in any 3-dimensional Riemannian
manifold has constant mean curvature. We use this to show that a totally umbilical surface in …

We characterise the profile curves of non-CMC biconservative rotational hypersurfaces of
space forms N n (ρ) as p-elastic curves, for a suitable rational number p∈[1/4, 1) which …