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On Parallelizable Spheres in Semi Euclidean Space

Durmaz, Olgun; Aktas, Busra; Gundogan, Halit


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/8835</identifier>
  <creators>
    <creator>
      <creatorName>Durmaz, Olgun</creatorName>
      <givenName>Olgun</givenName>
      <familyName>Durmaz</familyName>
      <affiliation>Kirikkale Univ, Fac Sci &amp; Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Aktas, Busra</creatorName>
      <givenName>Busra</givenName>
      <familyName>Aktas</familyName>
      <affiliation>Kirikkale Univ, Fac Sci &amp; Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Gundogan, Halit</creatorName>
      <givenName>Halit</givenName>
      <familyName>Gundogan</familyName>
      <affiliation>Kirikkale Univ, Fac Sci &amp; Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>On Parallelizable Spheres In Semi Euclidean Space</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2020</publicationYear>
  <dates>
    <date dateType="Issued">2020-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/8835</alternateIdentifier>
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    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.81043/aperta.8834</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.81043/aperta.8835</relatedIdentifier>
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  <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 Euclidean space, there exist four theorems which show that S-n sphere is not parallelizable for n not equal 1, 3, 7. While three of them are shown by using Bott theorem, the last one is shown by using Hurwitz-Radon numbers. In this paper, a theorem and the proof of this theorem about parallelization of spheres in semi-Euclidean space is given. It is presented that some spheres are parallelizable with respect to specific number systems.</description>
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