New examples of Hamilton-minimal and minimal Lagrangian manifolds in $\mathbb C^n$ and $\mathbb C\mathrm P^n$

A new method is proposed for constructing Hamilton-minimal and minimal Lagrangian immersions and embeddings of manifolds in $\mathbb C^n$ and in $\mathbb C\mathrm P^n$. In particular, using this method it is possible to construct embeddings of manifolds such as the $(2n+1)$-dimensional generalized Klein bottle $\mathscr K^{2n+1}$, $S^{2n+1}\times S^1$, $\mathscr K^{2n+1}\times S^1$, $S^{2n+1}\times S^1\times S^1$, and others.