On Hamiltonian minimality of isotropic non-homogeneous tori in ${\mathbb{H}}^n$ and $\mathbb{C}{\mathrm{P}}^{2n+1}$

Abstract

We construct a family of flat isotropic non-homogeneous tori in ${\mathbb{H}}^n$ and $\mathbb{C}{\mathrm{P}}^{2n+1}$ and find necessary and sufficient conditions for their Hamiltonian minimality.

8 pages

References in corpus (2)

• On new examples of Hamiltonian-minimal and minimal Lagrangian submanifolds in $C^n$ and $C{P}^n$
• Intersections of quadrics, moment-angle manifolds, and Hamiltonian-minimal Lagrangian embeddings