• Title/Summary/Keyword: Godbillon-Vey class

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A SUBFOLIATION OF A CR-FOLIATION ON A LOCALLY CONFORMAL ALMOST KAHLER MANIFOLD

  • Kim, Tae-Wan;Pak, Hong-Kyung
    • Journal of the Korean Mathematical Society
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    • v.41 no.5
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    • pp.865-874
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    • 2004
  • The present paper treats with a subfoliation of a CR-foliation F on an almost Hermitian manifold M. When M is locally conformal almost Kahler, it has three OR-foliations. We show that a CR-foliation F on such manifold M admits a canonical subfoliation D(1/ F) defined by its totally real subbundle. Furthermore, we investigate some cohomology classes for D(1/ F). Finally, we construct a new one from an old locally conformal almost K hler (in particular, an almost generalized Hopf) manifold.