Some Properties of CR-submanifolds of an S-manifold with a Semi-Symmetric Metric Connection

Year 2017, Volume: 13 Issue: 3, 729 - 736, 30.09.2017

Ramazan Sarı Mehmet Akif Akyol Elif Aksoy

Abstract

We define a semi-symmetric metric connection in an
S-manifold and study CR-submanifolds of an S-manifold with a semi-symmetric
metric connection. Moreover, we also obtain integrability and parallel
conditions of the distributions on CR-submanifolds. Finally, we give some
results of the sectional curvatures of CR-submanifolds of an S-space form with
a semi-symmetric metric connection.

Keywords

Semi-symmetric metric connection, CR-submanifold, S-manifold, S-space form, Distributions

References

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