پیوندهای مفید
آمار
| تعداد نشریات | 26 |
| تعداد شماره‌ها | 399 |
| تعداد مقالات | 3,523 |
| تعداد مشاهده مقاله | 5,417,190 |
| تعداد دریافت فایل اصل مقاله | 3,702,984 |
On statistical generalized recurrent manifolds | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 5، شماره 2، 2024، صفحه 101-115 اصل مقاله (290.06 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2024.16014.1139 | ||
| نویسندگان | ||
| Fatemeh Asali1؛ Mohammad Bagher Kazemi Balgeshir* 2 | ||
| 1Department of Mathematics, University of Zanjan, Zanjan, Iran | ||
| 2Department of Mathematics ,University of Zanjan, P.O Box 45371-38791, Zanjan, Iran | ||
| چکیده | ||
| In this paper, we introduce a statistical generalized recurrent manifold, which its curvature tensor R*, satisfies the generalized recurrent condition ∇*R*=ΓR*+θ H. Next we prove that a statistical generalized recurrent manifold with constant curvature is as same as a generalized recurrent manifold with respect to its Levi-Civita connection. Also we show that a statistical generalized recurrent manifold is neither statistical semi-symmetric, nor statistical Ricci semi-symmetric. Finally we prove that in spite of the Riemannian manifold, a statistical generalized recurrent manifold is not statistical concircular recurrent. | ||
| کلیدواژه‌ها | ||
| Statistical manifold؛ statistical generalized recurrent manifold؛ statistical generalized concirculary recurrent؛ statistical semi symmetric | ||
| مراجع | ||
|
1. S. Amari and H. Nagaoka, Methods of information geometry, American Math. Soc. 191, 2000. 2. M. Aydin, A. Mihai and I. Mihai, Generalized Wintgen inequality for statistical submanifolds in statistical manifolds of constant curvature, Bulletin of Math. 7(2017), 155-166. 3. R.S.D. Dubey, Generalized recurrent spaces, Indian J. Pure Appl. Math. 10(12)(1979), 1508-1513. 4. H. Furuhata, I. Hasegawa, Y. Okuyama, K. Sato and M.H. Shahid, Sasakian statistical manifolds, J. Geom. Phys. 117(2017), 179-186. 5. M.B. Kazemi and F. Raei, Recurrent and ϕ-recurrent curvature on mixed 3-Sasakian manifolds, Novi Sad J. Math. 53(2)(2023), 1-8. 6. M.B. Kazemi and S. Salahvarzi, On statistical submersions from 3-Sasakian statistical manifolds, Diff. Geom. Appl. 94(2024), 102-124. 7. S. Kobayashi and Y. Ohno, On a constant curvature statistical manifold, Inf. Geom. 5(1)(2022), 31-46. 8. B. Prasada and R.P.S. Yadava, A study on nearly recurrent generalized (k, µ)-space forms, Filomat, 38(6)(2024), 2035-2043. 9. H.S. Ruse, On simply harmonic spaces, J. Lond. Math. Soc. 21(1946), 243-247. 10. A. Singh and K. Shyam, Generalized recurrent and generalized Ricci recurrent generalized Sasakian space forms, Palestine J. Math. 9.2(2020), 866-873. 11. S. Uddin, E. Peyghan, L. Nourmohammadifar and R. Bossly, On Nearly Sasakian and Nearly Kaehler Statistical Manifolds, Mathematics. 11(12)(2023), 1-19. | ||
|
آمار تعداد مشاهده مقاله: 180 تعداد دریافت فایل اصل مقاله: 184 |
||