Volume 34 • Number 1 • 2011   • On Conharmonic Curvature Tensor in \(K\)-contact and Sasakian Manifolds Mohit Kumar Dwivedi and Jeong-Sik Kim Abstract. Some necessary and/or sufficient condition(s) for \(K\)-contact and/or Sasakian manifolds to be quasi conharmonically flat, \(\xi \)-conharmonically flat and \(\varphi \)-conharmonically flat are obtained. In last, it is proved that a compact \(\varphi \)-conharmonically flat \(K\)-contact manifold with regular contact vector field is a principal \(S^{1}\)-bundle over an almost Kaehler space of constant holomorphic sectional curvature \(\left( 3-\frac{2}{2n-1}\right)\). 2010 Mathematics Subject Classification: 53C25, 53D10, 53D15. Full text: PDF