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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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{
  "DOI": "10.5486/PMD.2017.7643", 
  "abstract": "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.", 
  "author": [
    {
      "family": "Canfes", 
      "given": " Elif Ozkara"
    }, 
    {
      "family": "Turgay", 
      "given": " Nurettin Cenk"
    }
  ], 
  "container_title": "PUBLICATIONES MATHEMATICAE-DEBRECEN", 
  "id": "111308", 
  "issue": "3-4", 
  "issued": {
    "date-parts": [
      [
        2017, 
        1, 
        1
      ]
    ]
  }, 
  "page": "349-367", 
  "title": "On the Gauss map of minimal Lorentzian surfaces in 4-dimensional semi-Riemannian space forms with index 2", 
  "type": "article-journal", 
  "volume": "91"
}
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