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학술저널

ON SOME PROPERTIES OF SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY TRANS-SASAKIAN MANIFOLD ADMITTING A QUARTER-SYMMETRIC NON-METRIC CONNECTION

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We de¯ne a quarter-symmetric non-metric connection in a nearly trans-Sasakian manifold and we consider semi-invariant submanifolds of a nearly trans-Sasakian manifold endowed with a quarter-symmetric non-metric connection. Moreover, we also ob-tain integrability conditions of the distributions on semi-invariant submanifolds.

1. Introduction

2. Nearly trans-Sasakian manifold

3. Semi-invariant submanifolds

4. Nijenhuis tensor

5. Some basic results

6. Integrability of the distribution D1 © f»g

7. Non-integrability of the distribution D1

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