Abstract
In this paper we study a class of K-contact manifolds, namely φ-conformally flat K-contact manifolds and we show that a compact φ-conformally flat K-contact manifold with regular contact vector field is a principal S1-bundle over an almost Kaehler space of constant holomorphic sectional curvature.
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Cabrerizo, J.L., Fernández, L.M., Fernández, M. et al. The Structure of a Class of K-contact Manifolds. Acta Mathematica Hungarica 82, 331–340 (1999). https://doi.org/10.1023/A:1006696410826
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DOI: https://doi.org/10.1023/A:1006696410826