REEB FLOW SYMMETRY ON ALMOST COSYMPLECTIC THREE-MANIFOLDS

Title & Authors
REEB FLOW SYMMETRY ON ALMOST COSYMPLECTIC THREE-MANIFOLDS
Cho, Jong Taek;

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 ${\pounds}_{\xi}S Keywords almost cosymplectic three-manifold;Reeb flow;Lie group; Language English Cited by 1. Semi-symmetric almost coKähler 3-manifolds, International Journal of Geometric Methods in Modern Physics, 2017, 1793-6977, 1850031 References 1. D. E. Blair, Riemannian geometry of contact and symplectic manifolds, Second edition, Progr. Math. 203, Birkhauser Boston, Inc., Boston, MA, 2010. 2. D. E. Blair and H. Chen, A classification of 3-dimensional contact metric manifolds with$Q{\phi}\;=\;{\phi}Q\$. II, Bull. Inst. Math. Acad. Sinica 20 (1992), no. 4, 379-383.

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