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 …

In this note, we give a brief survey on some recent developments of biharmonic
submanifolds. After reviewing some recent progress on Chen's biharmonic conjecture, the …

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

Biharmonic maps are the critical points of the bienergy functional and, from this point of view,
generalize harmonic maps. We consider the Hopf map $\psi:\mathbb {S}^ 3\to\mathbb {S} …

We study biharmonic maps between Riemannian manifolds with finite energy and finite bi-
energy. We show that if the domain is complete and the target of non-positive curvature, then …

Biharmonic maps between warped product manifolds - ScienceDirect Skip to main contentSkip
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Classifications of all biharmonic isoparametric hypersurfaces in the unit sphere, and all
biharmonic homogeneous real hypersurfaces in the complex or quaternionic projective …

We classify all biharmonic Legendre curves in a Sasakian space form and obtain their
explicit parametric equations in the (2 n+ 1)-dimensional unit sphere endowed with the …

A triharmonic map is a critical point of the 3-energy in the space of smooth maps between
two Riemannian manifolds. We study the generalized Chen's conjecture for a triharmonic …