Abstract.
In the present paper we classify the conformally flat contact metric manifolds of dimension \( 2n + 1 (n > 1) \) satisfying \( R(\cdot,\xi)\xi = -k\phi^2 \). We prove that these manifolds are Sasakian of constant curvature 1.
Article PDF
Similar content being viewed by others
Use our pre-submission checklist
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gouli-Andreou, F., Tsolakidou, N. On conformally flat contact metric manifolds. J. Geom. 79, 75–88 (2004). https://doi.org/10.1007/s00022-003-1551-z
Received:
Issue Date:
DOI: https://doi.org/10.1007/s00022-003-1551-z