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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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        "affiliation": "Istanbul Tech Univ, Fac Sci & Letters, Dept Math, TR-34469 Istanbul, Turkey", 
        "name": "Canfes, Elif Ozkara"
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        "affiliation": "Istanbul Tech Univ, Fac Sci & Letters, Dept Math, TR-34469 Istanbul, Turkey", 
        "name": "Turgay, Nurettin Cenk"
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    "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.", 
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