J. Veken

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20242026

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math.DG2026

Curvature and Lagrangian submanifolds of the homogeneous nearly KÃ¤hler $C P^{3}$

MichaÃ«l Liefsoens, Joeri Van der Veken

A tractable definition of the homogeneous nearly KÃ¤hler structure on $C P^{3}$ is given via the Hopf fibration, facilitating explicit computations and analysis. The descript…

math.DG2025

Spheres with parallel mean curvature in $S^{2} \times H^{2}$

Giel Stas, Joeri Van der Veken

It is known that a surface with parallel mean curvature vector field in a Riemannian product of two surfaces of constant Gaussian curvature carries a holomorphic quadratic differen…

math.DG2024

Hypersurfaces of $S^{3} \times R$ and $H^{3} \times R$ with constant principal curvatures

Fernando Manfio, JoÃ£o Batista Marques dos Santos, JoÃ£o Paulo dos Santos +1

We classify the hypersurfaces of $Q^{3} \times R$ with three distinct constant principal curvatures, where $ε \in {1, - 1}$ and $Q^{3}$ denotes the u…

math.DG2024

Totally geodesic Lagrangian submanifolds of the pseudo-nearly KÃ¤hler $SL (2, R) \times SL (2, R)$

Mateo Anarella, Joeri Van der Veken

In this paper, we study Lagrangian submanifolds of the pseudo-nearly KÃ¤hler $SL (2, R) \times SL (2, R)$ . First, we show that they split into four di…

Curvature and Lagrangian submanifolds of the homogeneous nearly KÃ¤hler CP3

Spheres with parallel mean curvature in S2×H2

Hypersurfaces of S3×R and H3×R with constant principal curvatures

Totally geodesic Lagrangian submanifolds of the pseudo-nearly KÃ¤hler SL(2,R)×SL(2,R)

Curvature and Lagrangian submanifolds of the homogeneous nearly KÃ¤hler $C P^{3}$

Spheres with parallel mean curvature in $S^{2} \times H^{2}$

Hypersurfaces of $S^{3} \times R$ and $H^{3} \times R$ with constant principal curvatures

Totally geodesic Lagrangian submanifolds of the pseudo-nearly KÃ¤hler $SL (2, R) \times SL (2, R)$