Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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REEB FLOW SYMMETRY ON ALMOST COSYMPLECTIC THREE-MANIFOLDS

  • Cho, Jong Taek (Department of Mathematics Chonnam National University)
  • Received : 2015.08.13
  • Published : 2016.07.31
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Abstract

We prove that the Ricci operator S of an almost cosymplectic three-manifold M is invariant along the Reeb flow, that is, M satisfies ${\pounds}_{\xi}S=0$ if and only if M is either cosymplectic or locally isometric to the group E(1, 1) of rigid motions of Minkowski 2-space with a left invariant almost cosymplectic structure.

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References

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