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A subfoliation of a $CR$-foliation on a locally conformal almost K\"ahler manifold

A subfoliation of a $CR$-foliation on a locally conformal almost K\"ahler manifold

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Abstract

The present paper treats with a subfoliation of a CRfoliation F on an almost Hermitian manifold M. When M is locally conformal almost K¨ahler, it has three CR-foliations. We show that a CR-foliation F on such manifold M admits a canonical subfoliation D⊥ F defined by its totally real subbundle. Furthermore, we investigate some cohomology classes for D⊥ F. Finally, we construct a new one from an old locally conformal almost K¨ahler (in particular, an almost generalized Hopf) manifold.

참고문헌 (9)

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  2. "The canonical foliations of a locally conformalKahler manifold", 141 (1985)
  3. "G-foliations and their characteristic classes", 84 (1978)
  4. "On αβ-Einstein almost generalized Hopf manifolds", 46, pp.17~ (1995)
  5. "On one-dimenaional metric foliations in Einstein spaces", 36 (1992)
  6. "On localy conformal almost K ahler manifolds", 24 (1976)
  7. "Localy conformal Kahler manifolds with paralel Le form", 12 (1979)
  8. "Almost Hermitian submersions", 11 (1976)
  9. "Almost Hermitian submersions", 11 (1976)

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