Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form. (Q2828839)

\textit{B. Y. Chen} [Glasg. Math. J. 41, No. 1, 33--41 (1999; Zbl 0962.53015)] proved a sharp relationship between the Ricci curvature and the squared mean curvature for submanifolds in real space forms, known as Chen-Ricci inequality.NEWLINENEWLINE In the paper under review, the authors establish a Chen-Ricci inequality for submanifolds tangent to the Reeb vector field in a conformal Sasakian space form. The equality case is investigated and particular cases are considered.NEWLINENEWLINE Moreover, an inequality involving the scalar curvature and the squared mean curvature for such submanifolds is also proven.