Sub-Riemannian geometry is a branch of differential geometry that studies geometric structures on manifolds where the notion of distance is defined not by a full Riemannian metric but by a ...

Biharmonic maps are an important area of study within Riemannian geometry, focusing on maps ... context of polyharmonic hypersurfaces and their geometric properties. The exploration of biharmonic ...

We are also interested in Riemannian manifolds all of whose geodesics are closed, in Alexandrov geometry, Cat(0) spaces, Lie groups (and locally compact groups) and geometric group theory. In our work ...