21 citations · 87 across the 25 of their papers we have counts for
30 papers
Almost complex totally geodesic surfaces in the nearly Kähler
Mateo Anarella, Xiuxiu Cheng, Marie D'haene +2
We give a detailed description of the nearly Kähler , which is one of the pseudo-Riemannian counterparts of the fla…
Minimal -ideal Lagrangian submanifolds and the Quaternionic projective space
Kristof Dekimpe, Joeri Van der Veken, Luc Vrancken
We construct an explicit map from a generic minimal -ideal Lagrangian submanifold of to the quaternionic projective space , whose image is e…
Almost complex surfaces in the nearly Kaehler flag manifold
Kamil Cwilinski, Luc Vrancken
We study and classify almost complex totally geodesic submanifolds of the nearly Kaehler flag manifold , and of its semi-Riemannian counterpart. We also devel…
Four dimensional biharmonic hypersurfaces in nonzero space form have constant mean curvature
Zhida Guan, Haizhong Li, Luc Vrancken
In this paper, through making careful analysis of Gauss and Codazzi equations, we prove that four dimensional biharmonic hypersurfaces in nonzero space form have constant mean curv…
Almost complex surfaces in the nearly Kahler SL(2,R)xSL(2,R)
Elsa Ghandour, Luc Vrancken
The space admits a natural homogeneous pseudo-Riemannian nearly Kaehler structure. We investigate almost complex surfaces in this space. I…
On product minimal Lagrangian submanifolds in complex space forms
Xiuxiu Cheng, Zejun Hu, Marilena Moruz +1
In this paper we consider minimal Lagrangian submanifolds in -dimensional complex space forms. More precisely, we study such submanifolds which, endowed with the induced metrics…