On \((\mathrm{LCS})_{2n+1}\)-manifolds satisfying certain conditions on the concircular curvature tensor. (English) Zbl 1261.53023
Summary: We classify Lorentzian concircular structure manifolds, which satisfy the condition \(\tilde C(\xi, X)\cdot\tilde C=0\), \( \tilde C(\xi, X)\cdot R=0\), \(\tilde C(\xi, X)\cdot S=0\) and \(\tilde C(\xi, X)\cdot C=0\).
MSC:
| 53B30 | Local differential geometry of Lorentz metrics, indefinite metrics |
| 53C25 | Special Riemannian manifolds (Einstein, Sasakian, etc.) |
| 53C15 | General geometric structures on manifolds (almost complex, almost product structures, etc.) |
