Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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A SUBFOLIATION OF A CR-FOLIATION ON A LOCALLY CONFORMAL ALMOST KAHLER MANIFOLD

  • Kim, Tae-Wan (Department of Mathematics Silla University) ;
  • Pak, Hong-Kyung (Faculty of Information and Science Daegu Haany University)
  • Published : 2004.09.01
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Abstract

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.

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References

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