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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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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/111308</identifier>
  <creators>
    <creator>
      <creatorName>Canfes, Elif Ozkara</creatorName>
      <givenName>Elif Ozkara</givenName>
      <familyName>Canfes</familyName>
      <affiliation>Istanbul Tech Univ, Fac Sci &amp; Letters, Dept Math, TR-34469 Istanbul, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Turgay, Nurettin Cenk</creatorName>
      <givenName>Nurettin Cenk</givenName>
      <familyName>Turgay</familyName>
      <affiliation>Istanbul Tech Univ, Fac Sci &amp; Letters, Dept Math, TR-34469 Istanbul, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>On The Gauss Map Of Minimal Lorentzian Surfaces In 4-Dimensional Semi-Riemannian Space Forms With Index 2</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2017</publicationYear>
  <dates>
    <date dateType="Issued">2017-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/111308</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.5486/PMD.2017.7643</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="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.</description>
  </descriptions>
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