Non-existence of contact CR-warped product semi-slant submanifolds in generalized Sasakian-space-forms. (English) Zbl 1398.53035
Summary: The present paper deals with a study of contact CR-warped product submanifolds of generalized Sasakian-space-forms and contact CR-warped product semi-slant submanifolds of generalized Sasakian-space-forms. It is shown that there exists no proper contact CR-warped product submanifolds of generalized Sasakian-space-forms. However, we obtain some results for the existence or non-existence of contact CR-warped product semi-slant submanifolds of generalized Sasakian-space-forms.
MSC:
| 53C15 | General geometric structures on manifolds (almost complex, almost product structures, etc.) |
