Notes on some classes of 3-dimensional contact metric manifolds

نویسندگان

  • J. E. Jin
  • J. H. Park
چکیده

A review of the geometry of 3-dimensional contact metric manifolds shows that generalized Sasakian manifolds and η-Einstein manifolds are deeply interrelated. For example, it is known that a 3-dimensional Sasakian manifold is η-Einstein. In this paper, we discuss the relationships between several special classes of 3-dimensional contact metric manifolds which are generalizations of 3-dimensional Sasakian manifolds. We also provide examples illustrating our result in this paper. M.S.C. 2010: 53D10, 53C25.

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تاریخ انتشار 2012