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Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space

Izumiya, Shyuichi; Yildirim, Handan


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/84027</identifier>
  <creators>
    <creator>
      <creatorName>Izumiya, Shyuichi</creatorName>
      <givenName>Shyuichi</givenName>
      <familyName>Izumiya</familyName>
      <affiliation>Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan</affiliation>
    </creator>
    <creator>
      <creatorName>Yildirim, Handan</creatorName>
      <givenName>Handan</givenName>
      <familyName>Yildirim</familyName>
      <affiliation>Istanbul Univ, Dept Math, Fac Sci, TR-34134 Istanbul, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Extensions Of The Mandala Of Legendrian Dualities For Pseudo-Spheres In Lorentz-Minkowski Space</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2012</publicationYear>
  <dates>
    <date dateType="Issued">2012-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/84027</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1016/j.topol.2011.09.026</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 define one-parameter families of Legendrian double fibrations in the products of pseudo-spheres in Lorentz-Minkowski space which are the extensions of four Legendrian double fibrations in the previous research (lzumiya, 2009 [9]). We show that these are contact diffeomorphic to each other. Moreover, we construct one-parameter families of new extrinsic differential geometries on spacelike hypersurfaces in these pseudo-spheres as applications of such extensions of the Legendrian double fibrations. (C) 2011 Elsevier B.V. All rights reserved.</description>
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