Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Vol. 43, No. 1, pp. 181-193 (2002)

A Classification of Contact Metric 3-Manifolds with Constant $\xi$-sectional and $\phi$-sectional Curvatures

F. Gouli-Andreou and Ph. J. Xenos

Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki 540 06, Greece, e-mail: fgouli@mailhost.ccf.auth.gr
Mathematics Division - School of Technology, Aristotle University of Thessaloniki, Thessaloniki 540 06, Greece, e-mail: fxenos@vergina.eng.auth.gr

Abstract: We study the 3-dimensional contact metric manifolds equipped with constant $\xi$-sectional curvature and $\phi$-sectional curvature or constant norm of the Ricci operator.

Keywords: contact metric manifolds; 3-manifolds; constant sectional curvature; Ricci operator

Classification (MSC2000): 53D10, 53C25, 53C15

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