{
  "id": "math/0309128",
  "version": "v1",
  "published": "2003-09-07T07:17:55.000Z",
  "updated": "2003-09-07T07:17:55.000Z",
  "title": "On new examples of Hamiltonian-minimal and minimal Lagrangian submanifolds in $C^n$ and $CP^n$",
  "authors": [
    "A. E. Mironov"
  ],
  "comment": "16 pages",
  "categories": [
    "math.DG",
    "math.SG"
  ],
  "abstract": "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: $K^{2n+1},$ $S^{2n+1}\\times S^1$, $K^{2n+1}\\times S^1$, $S^{2n+1}\\times S^1\\times S^1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-09-07T07:17:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minimal lagrangian submanifolds",
      "hamiltonian-minimal",
      "minimal lagrangian immersions",
      "multidimensional torus",
      "generalized kleins bottle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}