<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-dynamical-systems-and-geometric-theories</journal-id>
      <journal-title-group>
        <journal-title>Journal of Dynamical Systems and Geometric Theories</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-0057</issn>
      <issn publication-format="print">1726-037X</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.1080/1726037X.2015.1035043</article-id>
      <title-group>
        <article-title>On Generalized Timelike Mannheim Curves in Minkowski Space-time</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Uçum</surname>
            <given-names>Ali</given-names>
          </name>
          <aff>Department of mathematics, faculty of sciences and arts, kirikkale university, kirikkale, turkey</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Nešović</surname>
            <given-names>Emilija</given-names>
          </name>
          <aff>Department of mathematics and informatics, faculty of science, University of kragujevac, kragujevac, serbia</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Ilarslan</surname>
            <given-names>Kazim</given-names>
          </name>
          <aff>Department of mathematics, faculty of sciences and arts, kirikkale university, kirikkale, turkey</aff>
        </contrib>
      </contrib-group>
      <volume>13</volume>
      <issue>1</issue>
      <fpage>71</fpage>
      <lpage>94</lpage>
      <pub-date date-type="pub">
        <day>02</day>
        <month>06</month>
        <year>2015</year>
      </pub-date>
      <abstract>
        <p>In Minkowski space-time, timelike generalized Mannheim curves are studied by Akyigit and et al in [1]. In that paper, the authors take the Mannheim mate a* of the timelike curve a as a timelike curve in Minkowski space-time undefinedIn this statement, the plane spanned by undefinedbecomes a spacelike plane. Thus the other possible cases such as timelike and null for the plane spanned by undefinedis not considered. In this paper, by taking consideration of all possible causal characters of the plane spanned by undefinedwe give the necessary and sufficient conditions for timelike curves in undefinedto be generalized timelike Mannheim curves in terms of their curvature functions. Also, the related examples are given.</p>
      </abstract>
      <kwd-group>
        <kwd>Mannheim curve</kwd>
        <kwd>Minkowski space-time</kwd>
        <kwd>Frenet vector fields</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
