Index of quasi-conformally symmetric semi-Riemannian manifolds
  We find the index of $\widetilde{\nabla}$-quasi-conformally symmetric and $\widetilde{\nabla}$-concircularly symmetric semi-Riemannian manifolds, where $\widetilde{\nabla}$ is metric connection. 
Mukut Mani Tripathi, Punam Gupta, Jeong-Sik Kim
math.DG