Hamiltonian minimal submanifolds in complex hyperbolic space with \(SO(n)\)-symmetry (Q2483374)

The author constructs explicit examples of Hamiltonian minimal submanifolds in complex hyperbolic \(n\)-space \(B^n=\{z\in\mathbb{C}^n\mid|z|<1\}\) endowed with the standard Kähler form \(\omega=i\partial\overline\partial\rho\), \(\rho=\log(1-|z|^2)\), which are not minimal. The construction uses Kähler reduction via a moment map.