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Parabolic Geodesics in Sasakian $3$-Manifolds

  Published:2011-03-10
 Printed: Sep 2011
  • Jong Taek Cho,
    Department of Mathematics, Chonnam National University, Gwangju, 500-757, Korea
  • Jun-ichi Inoguchi,
    Department of Mathematical Sciences, Faculty of Science, Yamagata University, Yamagata 990-8560, Japan
  • Ji-Eun Lee,
    Department of Mathematics, Kyungpook National University, Taegu 702-701, Korea
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Abstract

We give explicit parametrizations for all parabolic geodesics in 3-dimensional Sasakian space forms.
Keywords: parabolic geodesics, pseudo-Hermitian geometry, Sasakian manifolds parabolic geodesics, pseudo-Hermitian geometry, Sasakian manifolds
MSC Classifications: 58E20 show english descriptions Harmonic maps [See also 53C43], etc. 58E20 - Harmonic maps [See also 53C43], etc.
 

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