A Class of Conformally flat Contact Metric 3-Manifolds |
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| Authors: | Florence Gouli-Andreou Ramesh Sharma |
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| Institution: | 1. Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, 54006, Greece
2. Department of Mathematics, University of New Haven, West Haven, CT, 06516, USA
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| Abstract: | It is shown that a conformally flat contact metric 3-manifold with Ricci curvature vanishing along the characteristic vector field, has non-positive scalar curvature. Such a manifold is flat if (i) it is compact, or (ii) the scalar curvature is constant, or (iii) the norm of the Ricci tensor is constant. |
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