{
  "id": "0810.3351",
  "version": "v2",
  "published": "2008-10-18T21:54:47.000Z",
  "updated": "2014-10-09T16:05:16.000Z",
  "title": "Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space",
  "authors": [
    "Rafael López"
  ],
  "comment": "Notes of a Mini-Course taught at Instituto de Matematica e Estatistica. University of Sao Paulo, Brazil. The version v2 is a complete revision of version v1",
  "journal": "International Electronic Journal of Geometry, 7 (2014), 44-107",
  "categories": [
    "math.DG"
  ],
  "abstract": "We review part of the classical theory of curves and surfaces in $3$-dimensional Lorentz-Minkowski space. We focus in spacelike surfaces with constant mean curvature pointing the differences and similarities with the Euclidean space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-18T21:54:47.000Z",
      "abstract": "This Mini-Course gives an introduction to classical differential geometry of curves and surfaces in Lorentz-Minkowski space $\\e_1^3$. In the case of surfaces, we will study spacelike surfaces, specially with the assumption that its mean curvature is constant. Throughout the lectures, we will compare the results and techniques with those ones in Euclidean ambient space.",
      "comment": "Notes of a Mini-Course taught at Instituto de Matematica e Estatistica. University of Sao Paulo, Brasil. 67 pages with 17 figures. Table of contents, 6 chapters, index. There is a Spanish version of these notes upon request",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-10-09T16:05:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A10"
    ],
    "keywords": [
      "lorentz-minkowski space",
      "euclidean ambient space",
      "mean curvature",
      "classical differential geometry",
      "study spacelike surfaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 67,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.3351L"
    }
  }
}