{
  "id": "math/0210134",
  "version": "v1",
  "published": "2002-10-09T11:18:04.000Z",
  "updated": "2002-10-09T11:18:04.000Z",
  "title": "Lagrangian surfaces with circullar ellipse of curvature in complex space forms",
  "authors": [
    "Ildefonso Castro"
  ],
  "comment": "9 pages. To appear in Mathematical Proceedings of the Cambridge Philosophical Society",
  "journal": "Math. Proc. Cambridge Philos. Soc. 136 (2004), 239-245",
  "categories": [
    "math.DG"
  ],
  "abstract": "We classify the Lagrangian orientable surfaces in complex space forms with the property that the ellipse of curvature is always a circle. As a consequence, we obtain new characterizations of the Clifford torus of the complex projective plane and of the Whitney spheres in the complex projective, complex Euclidean and complex hyperbolic planes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-10-09T11:18:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42",
      "53C40"
    ],
    "keywords": [
      "complex space forms",
      "lagrangian surfaces",
      "circullar ellipse",
      "complex hyperbolic planes",
      "complex euclidean"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1017/S0305004103007126",
      "journal": "Mathematical Proceedings of the Cambridge Philosophical Society",
      "year": 2004,
      "month": "Jan",
      "volume": 136,
      "number": 1,
      "pages": 239
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004MPCPS.136..239C"
    }
  }
}