15 citations · 53 across the 18 of their papers we have counts for
21 papers
Lagrangian submanifolds in para-complex Euclidean space
Henri Anciaux, Maikel Samuays
We address the study of some curvature equations for distinguished submanifolds in para-Kähler geometry. We first observe that a para-complex submanifold of a para-Kähler manifold…
On the affine Gauss maps of submanifolds of Euclidean space
Henri Anciaux, Pierre Bayard
It is well known that the space of oriented lines of Euclidean space has a natural symplectic structure. Moreover, given an immersed, oriented hypersurface S the set of oriented li…
Hopf Hypersurfaces in pseudo-Riemannian complex and para-complex space forms
Henri Anciaux, Konstantina Panagiotidou
The study of real hypersurfaces in pseudo-Riemannian complex space forms and para-complex space forms, which are the pseudo-Riemannian generalizations of the complex space forms, i…
Codimension two marginally trapped submanifolds in Robertson-Walker spaces
Henri Anciaux, Nastassja Cipriani
We give a local characterization of codimension two submanifolds which are marginally trapped in Robertson-Walker spaces, in terms of an algebraic equation to be satisfied by the h…
Marginally trapped submanifolds in space forms with arbitrary signature
Henri Anciaux
We give explicit representation formulas for marginally trapped submanifolds of co-dimension two in pseudo-Riemannian spaces with arbitrary signature and constant sectional curvatu…
Surfaces with one constant principal curvature in three-dimensional space forms
Henri Anciaux
We study surfaces with one constant principal curvature in Riemannian and Lorentzian three-dimensional space forms. Away from umbilic points they are characterized as one-parameter…