On a class of 3-dimensional contact metric manifolds |
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| Authors: | Florence Gouli-Andreou Philippos J Xenos |
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| Institution: | (1) Department of Mathematics, Aristotle University of Thessaloniki, 540 06 Thessaloniki, Greece;(2) School of Technology Mathematics Division, Aristotle University of Thessaloniki, 540 06 Thessaloniki, Greece |
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| Abstract: | Let M3 be a 3-dimensional contact metric manifold with contact structure ( ,  ,  , g), such that and  =R(.,)) commute. Such a manifold is called 3- -manifold. We prove that every 3--manifold with -parallel Weyl tensor is either flat or a Sasakian manifold with constant curvature 1. |
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