Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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LOCALLY SYMMETRIC ALMOST COKÄHLER 5-MANIFOLDS WITH KÄHLERIAN LEAVES

  • Wang, Yaning (Henan Engineering Laboratory for Big Data Statistical Analysis)
  • Received : 2017.03.22
  • Accepted : 2017.11.03
  • Published : 2018.05.31
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Abstract

Let M be a compact almost $coK{\ddot{a}}hler$ 5-manifold with $K{\ddot{a}}hlerian$ leaves. In this paper, we prove that M is locally symmetric if and only if it is locally isometric to a Riemannian product of a unit circle $S^1$ and a locally symmetric compact $K{\ddot{a}}hler$ 4-manifold.

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References

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