54 citations · 85 across the 10 of their papers we have counts for
14 papers
Classification of -ideal Lagrangian submanifolds in -dimensional complex space forms
Bang-Yen Chen, Franki Dillen, Joeri Van der Veken +1
It was proven in [B.-Y. Chen, F. Dillen, J. Van der Veken and L. Vrancken, Curvature inequalities for Lagrangian submanifolds: the final solution, Differ. Geom. Appl. 31 (2013), 80…
On almost complex surfaces in the nearly Kähler
John Bolton, Bart Dioos, Luc Vrancken
We study almost complex surfaces in the nearly Kähler . We show that there is a local correspondence between almost complex surfaces and solutions of the H-surface…
-invariants for Lagrangian submanifolds of complex space forms
Bang-Yen Chen, Franki Dillen
The famous Nash embedding theorem published in 1956 was aiming for the opportunity to use extrinsic help in the study of (intrinsic) Riemannian geometry, if Riemannian manifolds co…
Curvature inequalities for Lagrangian submanifolds: the final solution
Bang-Yen Chen, Franki Dillen, Joeri Van der Veken +1
Let be an -dimensional Lagrangian submanifold of a complex space form. We prove a pointwise inequality $$δ(n_1,\ldots,n_k) \leq a(n,k,n_1,\ldots,n_k) \|H\|^2 + b(n,k,n_1,\ld…
Almost complex surfaces in the nearly Kähler
John Bolton, Franki Dillen, Bart Dioos +1
In this paper almost complex surfaces of the nearly Kähler are studied in a systematic way. We show that on such a surface it is possible to define a global holomor…
Special Lagrangian 4-folds with -Symmetry in Complex Space Forms
Franki Dillen, Christine Scharlach, Kristof Schoels +1
In this article we obtain a classification of special Lagrangian submanifolds in complex space forms subject to an -symmetry on the second fundamental form. The a…