Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 45, No. 1, pp. 103-115 (2004)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 45, No. 1, pp. 103-115 (2004) |
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Conformally flat contact metric manifolds with $Q\xi=\varrho\xi$Florence Gouli-Andreou and Niki TsolakidouAristotle University of Thessaloniki, Department of Mathematics, Thessaloniki-540 06, Greece, e-mail: fgouli@mailhost.ccf.auth.grAbstract: We study conformally flat contact metric manifolds $M^{2n+1}\left(n>1\right)$ for which the characteristic vector field is an eigenvector of the Ricci tensor. We prove that those manifolds are of constant sectional curvature. Keywords: Contact metric manifold, conformally flat Riemannian manifold Classification (MSC2000): 53C15, 53C25 Full text of the article:
Electronic version published on: 5 Mar 2004. This page was last modified: 4 May 2006.
© 2004 Heldermann Verlag
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