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3 results

  • Parabolic Geodesics in Sasakian 3-Manifolds

  • Jong Taek Cho, Jun-ichi Inoguchi, Ji-Eun Lee
  • Journal:
    Canadian Mathematical Bulletin / Volume 54 / Issue 3 / 01 September 2011
    Published online by Cambridge University Press:
    20 November 2018, pp. 396-410
    Print publication:
    01 September 2011
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  • We give explicit parametrizations for all parabolic geodesics in 3-dimensional Sasakian space forms.

  • Closed Einstein–Weyl structures on compact Sasakian and cosymplectic manifolds

  • Part of
  • Paola Matzeu
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 54 / Issue 1 / February 2011
    Published online by Cambridge University Press:
    11 November 2010, pp. 149-160
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  • We study closed Einstein–Weyl structures on compact K-contact, Sasakian and cosymplectic manifolds. In particular we prove that compact Sasakian and cosymplectic manifolds endowed with a closed Einstein–Weyl structure are η-Einstein.

  • Stability of Biharmonic Legendrian Submanifolds in Sasakian Space Forms

  • Toru Sasahara
  • Journal:
    Canadian Mathematical Bulletin / Volume 51 / Issue 3 / 01 September 2008
    Published online by Cambridge University Press:
    20 November 2018, pp. 448-459
    Print publication:
    01 September 2008
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  • Biharmonic maps are defined as critical points of the bienergy. Every harmonic map is a stable biharmonic map. In this article, the stability of nonharmonic biharmonic Legendrian submanifolds in Sasakian space forms is discussed.