Let $M$ be a complete connected Riemannian manifold with doubling property. Let $L = -/Delta + V$ be the Schr/”odinger  operator on $M$ where $-/Delta$ is the Laplace-Beltrami operator which satisfies the standard Gaussian upper bound. We assume that the potential $V$ is real and the negative part $V^{-}$ is strongly subcritical. We then show that a number of singular integrals associated to $L$ are bounded on certain weighed spaces.