A+ CATEGORY SCIENTIFIC UNIT

Pseudo-symmetric contact 3-manifolds III

Volume 114 / 2009

Jong Taek Cho, Jun-ichi Inoguchi, Ji-Eun Lee Colloquium Mathematicum 114 (2009), 77-98 MSC: 53B20, 53C25, 53C30. DOI: 10.4064/cm114-1-7

Abstract

A trans-Sasakian $3$-manifold is pseudo-symmetric if and only if it is $\eta $-Einstein. In particular, a quasi-Sasakian 3-manifold is pseudo-symmetric if and only if it is a coKähler manifold or a homothetic Sasakian manifold. Some examples of non-Sasakian pseudo-symmetric contact 3-manifolds are exhibited.

Authors

  • Jong Taek ChoDepartment of Mathematics
    Chonnam National University
    CNU, The Institute of Basic Science
    Kwangju, 500–757, Korea
    e-mail
  • Jun-ichi InoguchiDepartment of Mathematics Education
    Utsunomiya University
    Utsunomiya, 321-8505, Japan
    e-mail
  • Ji-Eun LeeNational Institute for Mathematical Sciences
    385-16, Doryong-dong, Yuseong-gu
    Daejeon, 305-340, Korea
    e-mail

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