11 citations · 49 across the 20 of their papers we have counts for
21 papers
On minimal homogeneous submanifolds of the hyperbolic space up to codimension two
Felippe Guimarães, Joeri Van der Veken
We show that a minimal homogeneous submanifold , , of a hyperbolic space up to codimension two is totally geodesic.
Approximating maps into manifolds with lower curvature bounds
Simon Jacobsson, Raf Vandebril, Joeri van der Veken +1
Many interesting functions arising in applications map into Riemannian manifolds. We present an algorithm, using the manifold exponential and logarithm, for approximating such func…
Totally Geodesic and Parallel Hypersurfaces of Siklos Spacetimes
Giovanni Calvaruso, Lorenzo Pellegrino, Joeri Van der Veken
We classify and describe totally geodesic and parallel hypersurfaces for the entire class of Siklos spacetimes. A large class of minimal hypersurfaces is also described.
Totally Geodesic and Parallel Hypersurfaces of Gödel-type spacetimes
Giovanni Calvaruso, Lorenzo Pellegrino, Joeri Van der Veken
We classify parallel and totally geodesic hypersurfaces of the relevant class of Gödel-type spacetimes, with particular regard to the homogeneous examples.
Totally geodesic Lagrangian submanifolds of the pseudo-nearly Kähler
Mateo Anarella, Joeri Van der Veken
In this paper, we study Lagrangian submanifolds of the pseudo-nearly Kähler . First, we show that they split into four dif…
Scroll Waves and Filaments in excitable Media of higher spatial Dimension
Marie Cloet, Louise Arno, Desmond Kabus +3
Excitable media are ubiquitous in nature, and in such systems the local excitation tends to self-organize in traveling waves, or in rotating spiral-shaped patterns in two or three…
Parallel and totally umbilical hypersurfaces of the four-dimensional Thurston geometry
Marie D'haene, Jun-ichi Inoguchi, Joeri Van der Veken
We study hypersurfaces of the four-dimensional Thurston geometry , which is a Riemannian homogeneous space and a solvable Lie group. In particular, we give a full c…
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…
Tensor completion using geodesics on Segre manifolds
Lars Swijsen, Joeri Van der Veken, Nick Vannieuwenhoven
We propose a Riemannian conjugate gradient (CG) optimization method for finding low rank approximations of incomplete tensors. Our main contribution consists of an explicit express…
Lagrangian surfaces in
Dong Gao, Joeri Van der Veken, Anne Wijffels +1
The Riemannian product of two hyperbolic planes of constant Gaussian curvature -1 has a natural Kähler structure. In fact, it can be identified with the complex hyperbolic quadric…
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…
Parallel mean curvature surfaces in four-dimensional homogeneous spaces
José M. Manzano, Francisco Torralbo, Joeri Van der Veken
We survey different classification results for surfaces with parallel mean curvature immersed into some Riemannian homogeneous four-manifolds, including real and complex space form…
Lagrangian submanifolds of the nearly Kähler from minimal surfaces in
Burcu Bektas, Marilena Moruz, Joeri Van der Veken +1
We study non-totally geodesic Lagrangian submanifolds of the nearly Kähler for which the projection on the first component is nowhere of maximal…
Lagrangian Submanifolds with Constant Angle Functions of the nearly Kähler
Burcu Bektas, Marilena Moruz, Joeri Van der Veken +1
We study Lagrangian submanifolds of the nearly Kähler with respect to their, so called, angle functions. We show that if all angle functions are co…
On holomorphic Riemannian geometry and submanifolds of Wick-related spaces
Victor Pessers, Joeri Van der Veken
In this article we show how holomorphic Riemannian geometry can be used to relate certain submanifolds in one pseudo-Riemannian space to submanifolds with corresponding geometric p…
Sequences of harmonic maps in the 3-sphere
Bart Dioos, Joeri Van der Veken, Luc Vrancken
We define two transforms between non-conformal harmonic maps from a surface into the 3-sphere. With these transforms one can construct, from one such harmonic map, a sequence of ha…
Lagrangian submanifolds with prescribed second fundamental form
Bang-Yen Chen, Joeri Van der Veken, Luc Vrancken
We classify Lagrangian submanifolds of complex space forms, whose second fundamental form can be written in a certain way, depending on a real parameter. For some special values of…
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…
Gauss maps of constant mean curvature surfaces in three-dimensional homogeneous spaces
Jun-ichi Inoguchi, Joeri Van der Veken
It is well-known that for a surface in a 3-dimensional real space form the constancy of the mean curvature is equivalent to the harmonicity of the Gauss map. However, this is not t…
Totally umbilical hypersurfaces of manifolds admitting a unit Killing field
Rabah Souam, Joeri Van der Veken
We prove that a Riemannian product of type M x R (where R denotes the Euclidean line) admits totally umbilical hypersurfaces if and only if M has locally the structure of a warped…
Constant Angle Surfaces in a warped product
Franki Dillen, Marian Ioan Munteanu, Joeri Van der Veken +1
Let be an open interval, a strictly positive function and denote by $\E^2$ the Euclidean plane. We classify all surfaces in the warped product manif…