{
  "id": "1402.1231",
  "version": "v3",
  "published": "2014-02-06T02:17:08.000Z",
  "updated": "2016-06-21T14:05:17.000Z",
  "title": "Constant Mean Curvature Surfaces in $\\mathbb{M}^2(c)\\times\\mathbb{R}$ and Finite Total Curvature",
  "authors": [
    "Márcio Batista",
    "Marcos P. Cavalcante",
    "Dorel Fetcu"
  ],
  "comment": "Updated version taking into account the remarks of the referee",
  "categories": [
    "math.DG"
  ],
  "abstract": "We consider surfaces with parallel mean curvature vector field and finite total curvature in product spaces of type $\\mathbb{M}^n(c)\\times\\mathbb{R}$, where $\\mathbb{M}^n(c)$ is a space form, and characterize certain of these surfaces. When $n=2$, our results are similar to those obtained in \\cite{bds} for surfaces with constant mean curvature in space forms.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-13T02:32:52.000Z",
      "abstract": "We consider surfaces with parallel mean curvature vector field and finite total curvature in product spaces of type $\\mathbb{M}^n(c)\\times\\mathbb{R}$, where $\\mathbb{M}^n(c)$ is a space form, and characterize certain of these surface. When $n=2$, our results are similar to those obtained in [5] for surfaces with constant mean curvature in space forms.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2016-06-21T14:05:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42",
      "58J50"
    ],
    "keywords": [
      "constant mean curvature surfaces",
      "finite total curvature",
      "parallel mean curvature vector field",
      "space form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.1231B"
    }
  }
}