| Title:
|
On pseudoparallel submanifold of trans-Sasakian manifolds admitting semisymmetric metric connection (English) |
| Author:
|
Atçeken, Mehmet |
| Author:
|
Mert, Tuğba |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0011-4642 |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
151 |
| Issue:
|
3 |
| Year:
|
2026 |
| Pages:
|
341-356 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of the present paper is to study invariant pseudoparallel submanifolds of a trans-Sasakian manifold equipped with semisymmetric metric connection. We have searched the necessary and sufficient conditions for an invariant pseudoparallel submanifold to be totally geodesic with respect to semisymmetric metric connection and structures reduced by the structures on the ambient manifold under the same conditions. (English) |
| Keyword:
|
trans-Sasakian manifold |
| Keyword:
|
pseudoparallel and Ricci pseudoparallel |
| Keyword:
|
Ricci-generalized pseudoparallel and 2-pseudoparallel submanifold, semisymmetric metric connection |
| MSC:
|
53C15 |
| MSC:
|
53C42 |
| DOI:
|
10.21136/MB.2025.0146-24 |
| . |
| Date available:
|
2026-08-24T07:49:29Z |
| Last updated:
|
2026-08-24 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153709 |
| . |
| Reference:
|
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| Reference:
|
[2] Bagewadi, C. S., Kumar, E. G.: Note on trans-Sasakian manifolds.Tensor, New Ser. 65 (2004), 80-88. Zbl 1165.53343, MR 2099688 |
| Reference:
|
[3] Bagewadi, C. S., Venkatesha, V.: Some curvature tensors on trans-Sasakian manifolds.Turk. J. Math. 31 (2007), 111-121. Zbl 1138.53028, MR 1138.53028 |
| Reference:
|
[4] Beldjilali, G.: Classificaiton of almost contact metric structures on 3D Lie groups.J. Math. Sci., New York 271 (2023), 210-222. Zbl 1532.53094, MR 4643260, 10.1007/s10958-023-06374-5 |
| Reference:
|
[5] Chaubey, S. K.: Trans-Sasakian manifolds satisfying certain conditions.TWMS J. Appl. Eng. Math. 9 (2019), 305-314. |
| Reference:
|
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| Reference:
|
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| Reference:
|
[8] Kim, J.-S., Prasad, R., Tripathi, M. M.: On generalized Ricci-recurrent trans-Sasakian manifolds.J. Korean Math. Soc. 39 (2002), 953-961. Zbl 1025.53023, MR 1932790, 10.4134/JKMS.2002.39.6.953 |
| Reference:
|
[9] Mert, T., Atçeken, M.: A note on pseudoparallel submanifolds of Lorentzian para-Kenmotsu manifolds.Filomat 37 (2023), 5095-5107. MR 4576638, 10.2298/FIL2315095M |
| Reference:
|
[10] Mert, T., Atçeken, M., Uygun, P.: On invariant submanifolds of Lorentz Sasakian space forms.J. Math. Ext. 17 (2023), Article ID 7, 17 pages. Zbl 1524.53091, 10.30495/JME.2023.2484 |
| Reference:
|
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| . |
