Anne Wijffels

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20192021

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math.DG2021

Lagrangian surfaces in $H^{2} \times H^{2}$

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…

math.DG2020

Lagrangian submanifolds of the complex hyperbolic quadric

Joeri Van der Veken, Anne Wijffels

We consider the complex hyperbolic quadric $Q^{*}^{n}$ as a complex hypersurface of complex anti-de Sitter space. Shape operators of this submanifold give rise to a family of local a…

math.DG2019

Lagrangian submanifolds of the complex quadric as Gauss maps of hypersurfaces of spheres

Joeri Van der Veken, Anne Wijffels

The Gauss map of a hypersurface of a unit sphere $S^{n + 1} (1)$ is a Lagrangian immersion into the complex quadric $Q^{n}$ and, conversely, every Lagrangian submanifold of $Q^{n}$ is loc…

Lagrangian surfaces in H2×H2

Lagrangian submanifolds of the complex hyperbolic quadric

Lagrangian submanifolds of the complex quadric as Gauss maps of hypersurfaces of spheres

Lagrangian surfaces in $H^{2} \times H^{2}$