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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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  <dc:creator>Canfes, Elif Ozkara</dc:creator>
  <dc:creator>Turgay, Nurettin Cenk</dc:creator>
  <dc:date>2017-01-01</dc:date>
  <dc: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.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/111308</dc:identifier>
  <dc:identifier>oai:zenodo.org:111308</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>PUBLICATIONES MATHEMATICAE-DEBRECEN 91(3-4) 349-367</dc:source>
  <dc:title>On the Gauss map of minimal Lorentzian surfaces in 4-dimensional semi-Riemannian space forms with index 2</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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