%0 Journal Article
%T On new examples of Hamiltonian-minimal and minimal Lagrangian submanifolds in $C^n$ and $CP^n$
%A A. E. Mironov
%J Mathematics
%D 2003
%I arXiv
%R 10.1070/SM2004v195n01ABEH000794
%X We propose a new method for the construction of Hamiltonian-minimal and minimal Lagrangian immersions of some manifolds in $C^n$ and in $CP^n$. By this method one can construct, in particular, immersions of such manifolds as the generalized Klein's bottle $K^n$, the multidimensional torus, $K^{n-1}\times S^1$, $S^{n-1}\times S^1$, and others. In some cases these immersions are embeddings. For example, it is possible to embed the following manifolds: $K^{2n+1},$ $S^{2n+1}\times S^1$, $K^{2n+1}\times S^1$, $S^{2n+1}\times S^1\times S^1$.
%U http://arxiv.org/abs/math/0309128v1