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

## TL;DR

This paper constructs a family of flat isotropic non-homogeneous tori in hyperbolic and complex projective spaces and determines the precise conditions under which they are Hamiltonian minimal.

## Contribution

It introduces a new family of tori in hyperbolic and complex projective spaces and characterizes their Hamiltonian minimality conditions.

## Key findings

- Explicit construction of flat isotropic non-homogeneous tori.
- Necessary and sufficient conditions for Hamiltonian minimality.
- Extension of minimality theory to non-homogeneous tori.

## 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.