CR-submanifolds of a Lorentzian para-Sasakian manifold endowed with a semi-symmetric non-metric connection. (English) Zbl 1316.53029
Summary: We define a semi-symmetric non-metric connection in a Lorentzian para-Sasakian manifold and study CR-submanifolds of a Lorentzian para- Sasakian manifold endowed with a semi-symmetric non-metric connection. Moreover, we also obtain integrability conditions of the distributions on CR-submanifolds.
MSC:
| 53C15 | General geometric structures on manifolds (almost complex, almost product structures, etc.) |
| 53B30 | Local differential geometry of Lorentz metrics, indefinite metrics |
| 32V30 | Embeddings of CR manifolds |
