{
  "id": "1605.00460",
  "version": "v1",
  "published": "2016-05-02T12:38:53.000Z",
  "updated": "2016-05-02T12:38:53.000Z",
  "title": "On Generalized Spherical Surfaces in Euclidean Spaces",
  "authors": [
    "Bengu Bayram",
    "Kadri Arslan",
    "Betul Bulca"
  ],
  "comment": "14 pages. arXiv admin note: text overlap with arXiv:1205.2143 by other authors",
  "categories": [
    "math.DG"
  ],
  "abstract": "In the present study we consider the generalized rotational surfaces in Euclidean spaces. Firstly, we consider generalized spherical curves in Euclidean $(n+1)-$space $\\mathbb{E}^{n+1}$. Further, we introduce some kind of generalized spherical surfaces in Euclidean spaces $\\mathbb{E}^{3}$ and $% \\mathbb{E}^{4}$ respectively. We have shown that the generalized spherical surfaces of first kind in $\\mathbb{E}^{4}$ are known as rotational surfaces, and the second kind generalized spherical surfaces are known as meridian surfaces in $\\mathbb{E}^{4}$. We have also calculated the Gaussian, normal and mean curvatures of these kind of surfaces. Finally, we give some examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-02T12:38:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C40",
      "53C42"
    ],
    "keywords": [
      "euclidean spaces",
      "second kind generalized spherical surfaces",
      "generalized rotational surfaces",
      "first kind",
      "meridian surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}