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http://dx.doi.org/10.4134/BKMS.b150656

REEB FLOW SYMMETRY ON ALMOST COSYMPLECTIC THREE-MANIFOLDS  

Cho, Jong Taek (Department of Mathematics Chonnam National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.4, 2016 , pp. 1249-1257 More about this Journal
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.
Keywords
almost cosymplectic three-manifold; Reeb flow; Lie group;
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Times Cited By KSCI : 1  (Citation Analysis)
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