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On the Gauss map of minimal Lorentzian surfaces in 4-dimensional semi-Riemannian space forms with index 2

Canfes, Elif Ozkara; Turgay, Nurettin Cenk


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  "@context": "https://schema.org/", 
  "@id": 111308, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Istanbul Tech Univ, Fac Sci & Letters, Dept Math, TR-34469 Istanbul, Turkey", 
      "name": "Canfes, Elif Ozkara"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Istanbul Tech Univ, Fac Sci & Letters, Dept Math, TR-34469 Istanbul, Turkey", 
      "name": "Turgay, Nurettin Cenk"
    }
  ], 
  "datePublished": "2017-01-01", 
  "description": "In this paper, we study minimal Lorentzian surfaces with finite type Gauss map in 4-dimensional semi-Riemannian space forms with index of 2. First, we give the complete classification of Lorentzian surfaces in the semi-Euclidean space E-2(4) with pointwise 1-type Gauss map. Then, we study all Lorentzian minimal surfaces in S-2(4) (1) regarding their Gauss map. In particular, we proved that a Lorentzian minimal surface in S-2(4)) has 2-type Gauss map if and only if it has constant Gaussian curvature and non-zero constant normal curvature.", 
  "headline": "On the Gauss map of minimal Lorentzian surfaces in 4-dimensional semi-Riemannian space forms with index 2", 
  "identifier": 111308, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "On the Gauss map of minimal Lorentzian surfaces in 4-dimensional semi-Riemannian space forms with index 2", 
  "url": "https://aperta.ulakbim.gov.tr/record/111308"
}
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