On Hamiltonian minimal submanifolds in the space of oriented geodesics in real space forms

Nikos Georgiou, Guillermo Antonio Lobos Villagra

We prove that a deformation of a hypersurface in a $(n+1)$-dimensional real space form ${\mathbb{S}}_{p,1}^{n+1}$ induce a Hamiltonian variation of the normal congruence in the spac…