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Characteristic properties of the ruled surface with Darboux frame in E-3

Senturk, Gulsum Yeliz; Yuce, Salim


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/83033</identifier>
  <creators>
    <creator>
      <creatorName>Senturk, Gulsum Yeliz</creatorName>
      <givenName>Gulsum Yeliz</givenName>
      <familyName>Senturk</familyName>
      <affiliation>Yildiz Tech lniv, Dept Math, Fac Arts &amp; Sci, TR-34220 Istanbul, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Yuce, Salim</creatorName>
      <givenName>Salim</givenName>
      <familyName>Yuce</familyName>
      <affiliation>Yildiz Tech lniv, Dept Math, Fac Arts &amp; Sci, TR-34220 Istanbul, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Characteristic Properties Of The Ruled Surface With Darboux Frame In E-3</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2015</publicationYear>
  <dates>
    <date dateType="Issued">2015-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/83033</alternateIdentifier>
  </alternateIdentifiers>
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    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.81043/aperta.83032</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.81043/aperta.83033</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>
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  <descriptions>
    <description descriptionType="Abstract">In this study, the ruled surface with Darboux frame is defined. Then, the ruled surfaces characteristic properties which are related to the geodesic curvature, the normal curvature and the geodesic torsion are investigated. The relation between the Darboux frame and the Frenet frame on the ruled surface is presented. Moreover, some theorems about the pitch and the angle of the pitch which are the integral invariants of the ruled surface with darboux frame are given.</description>
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