Chen inequalities for submanifolds of generalized Sasakian space forms with a semi-symmetric metric connection. (Chinese. English summary) Zbl 1374.53076
Summary: Using algebraic techniques, we established Chen inequalities for submanifolds of generalized Sasakian space forms with a semi-symmetric metric connection, and gave relationships between the mean curvature associated with a semi-symmetric metric connection and certain intrinsic invariants involving the sectional and scalar curvatures of submanifolds.
MSC:
| 53C25 | Special Riemannian manifolds (Einstein, Sasakian, etc.) |
| 53C07 | Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) |
