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Property of the curvatures of integrable poly-Norden manifolds and their submanifolds | ||
| Journal of Mahani Mathematical Research | ||
| دوره 14، شماره 2 - شماره پیاپی 32، مرداد 2025، صفحه 329-341 اصل مقاله (441.3 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2025.24475.1728 | ||
| نویسندگان | ||
| Masoumeh Tofighi؛ Mohammad Bagher Kazemi Balgeshir* | ||
| Department of Mathematics, University of Zanjan, Zanjan, Iran | ||
| چکیده | ||
| In the present paper, almost poly-Norden and locally almost poly-Norden manifolds are investigated. Ricci tensor and Riemannian curvature of integrable poly-Norden manifolds are studied. Geometric properties of submanifolds of these types of manifolds are studied. Moreover, slant submanifolds of almost poly-Norden manifolds are characterized and illustrated by non-trivial examples. | ||
| کلیدواژه‌ها | ||
| almost contact manifolds؛ integrable poly-Norden manifold؛ slant submanifold؛ Riemannian curvature | ||
| مراجع | ||
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[2] Azami, Sh., & Jafari, M. (2024). Riemannian Solitons on Relativistic Space-Times: Gravitation and Cosmology, 306, 306-311. https://doi.org/10.1134/S020228932470021X
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[4] Blaga, A.M., & Hretcanu, C.E. (2018). Invariant, anti-invariant and slant submanifolds of a metallic Riemannian manifold: Novi Sad J. Math. 48(2), 55-80. https://doi.org/10.30755/NSJOM.06365
[5] Gupta, R.S., & Sharfuddin, A. (2011). Slant lightlike submanifolds of inde nite Kenmotsu manifolds: Turk J math. https://doi.org/10.3906/mat-0906-52, 115-127.
[6] Hretcanu, C.E., & Blaga, A.M. (2018). Slant and Semi-Slant Submanifolds in Metallic Riemannian Manifolds: Journal of Function Spaces, 11, 1-13. https://doi.org/10.1155/2018/2864263.
[7] Kazemi Balgeshir, M.B. (2022). Slant, Semi-slant and Pointwise Slant Submanifolds of 3-Structure Manifolds: Chen, B.Y., Shahid, M.H., Al-Solamy, F. (eds) Contact Geometry of Slant Submanifolds. Springer, Singapore, 159-182. https://doi.org/10.1007/978-981-16-0017-3-7
[8] Kazemi Balgeshir, M.B., Gharehkoshan, S.P., & Ilmakchi, M. (2024). Statistical manifolds equipped with semi-symmetric connection and Ricci-soliton equations: Rev. Math. Phys. 2450055. https://doi.org/10.1142/S0129055X24500557
[9] Perktas, S.Y.(2020). Submanifold of almost poly-Norden Riemannian manifolds: Turk J math, 44(1), 31-49. https://doi.org/10.3906/mat-1901-58
[10] Sahin, B. (2008). Slant lightlike submanifolds of inde nite Hermitian manifolds: Balkan j. Geom. Appl, 107-119. [11] Sahin, B. (2018). Almost poly-Norden manifolds: Int. J. Maps Math. 1(1), 68-79. [12] Zaeim, A., Jafari, M. & Ka moosavia, R. (2023). On some curvature functionals over homogeneous Siklos spacetimes: Journal of Linear and Topological Algebra, 12(2), 105-112. https://doi.org/1030495/JLTA.2023.1986328.1559 | ||
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