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We propose a new method for the construction of Hamiltonian-minimal and minimal Lagrangian immersions of some manifolds in and in . By this method one can construct, in particular, immersions of such manifolds as the generalized Klein’s bottle , the multidimensional torus, $K^{n-1}\times S^1S^{n-1}\times S^1$, and others. In some cases these immersions are embeddings. For example, it is possible to embed the following manifolds: , , $S^{2n+1}\times S^1\times S^1$.

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