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 surface in a semi-Riemannian manifold is called marginally trapped if its mean curvature
vector field is light-like at each point. In this article, we classify marginally trapped Lorentzian …

We give some general results on proper-biharmonic submanifolds of a complex space form
and, in particular, of the complex projective space. These results are mainly concerned with …

A surface in the pseudo-Euclidean space\mathbb E^ 4_2 with neutral metric (or in the
Lorentzian complex plane C 1 2) is called quasi-minimal if its mean curvature vector is light …

BIHARMONIC SUBMANIFOLDS IN NONFLAT LORENTZ 3-SPACE FORMS Page 1 Bull. Aust.
Math. Soc. 85 (2012), 422–432 doi:10.1017/S0004972711002978 BIHARMONIC …

A class of biminimal Legendrian submanifolds in Sasakian space forms - Sasahara - 2014 -
Mathematische Nachrichten - Wiley Online Library Skip to Article Content Skip to Article …

From J-action point of views, slant surfaces are the simplest and the most natural surfaces of
a (Lorentzian) Kähler surface (, J). Slant surfaces arise naturally and play some important …

We give the necessary and sufficient conditions for Lagrangian submanifolds in Kähler
manifolds to be biharmonic. We classify biharmonic PNMC Lagrangian H-umbilical …

Surfaces with parallel mean curvature vector play important roles in the theory of harmonic
maps, differential geometry as well as in physics. Surfaces with parallel mean curvature …

We compute a Simons-type formula for the stress-energy tensor of biharmonic maps from
surfaces. Specializing to Riemannian immersions, we prove several rigidity results for …