Joeri Van der Veken

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

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 differential. In this paper, we consider the Riemannian product of a sphere and a hyperbolic plane of opposi...

Warped Geometries of Segre–Veronese Manifolds

Abstract. Segre–Veronese manifolds are smooth submanifolds of tensors comprising the partially symmetric rank-1 tensors. We investigate a one-parameter family of warped geometries of Segre–Veronese manifolds which includes the standard Euclidean geometry. This parameter controls...