In this paper, we investigate the whole formulas of the curvature tensor, Ricci curvature and scalar curvature on the singly and doubly warped product on Lorentzian manifolds.

• 给出了洛伦茨流形上的曲率张量、纯量曲率的计算公式；并推导出了洛伦茨流形上的二重扭积公式.