{
  "id": "1310.2397",
  "version": "v1",
  "published": "2013-10-09T08:48:58.000Z",
  "updated": "2013-10-09T08:48:58.000Z",
  "title": "On Minty's theorem in the Heisenberg group",
  "authors": [
    "Andrea Calogero",
    "Rita Pini"
  ],
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "In this paper we extend some classical results of Convex Analysis to the sub-Riemannian setting of the Heisenberg group. In particular, we provide a horizontal version of Minty's theorem concerning maximal H-monotone operators defined in the Heisenberg group with values in the first layer of its Lie algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-09T08:48:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26B25",
      "47H05",
      "53C17"
    ],
    "keywords": [
      "heisenberg group",
      "theorem concerning maximal h-monotone operators",
      "mintys theorem concerning maximal h-monotone",
      "convex analysis",
      "horizontal version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.2397C"
    }
  }
}