Invariant, anti invariant and slant submanifolds of locally poly-norden manifolds
DOI:
https://doi.org/10.5269/bspm.66343Abstract
In this paper, we study locally almost 3-poly-Norden manifolds and prove several properties of the curvature tensor and Ricci tensor of these manifolds. We investigate invariant, anti-invariant and slant submanifolds of almost 3-poly-Norden manifolds from various views. We characterize these submanifolds and give non-trivial examples.
References
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2. Bahadir, O. and Uddin, S., Slant submanifolds of golden Riemannian manifolds. J. Math. Ext. 13(4), 23-29, (2019).
3. Blaga, A. M. and Hretcanu, C. E., Invariant, anti-invariant and slant submanifolds of a metallic Riemannian manifold, Novi Sad J. Math. 48(2), 55-80, (2018). https://doi.org/10.30755/NSJOM.06365
4. Gupta, R. S. and Sharfuddin, A., Slant lightlike submanifolds of indefinite Kenmotsu manifolds, Turk J math, 52, 115-127, (2011).
5. Gupta, R. S. Upadhyay, A. and Sharfuddin, A., Slant lightlike submanifolds of indefinite cosymplectic manifolds. Mediterr. J. Math, 77, 115-127, (2011). DOI: 10.1007/s00009-010-0077-5
6. Hretcanu, C. E. and Blaga, A. M., Slant and semi-slant submanifolds in Metallic Riemannian manifolds, J. Function Spaces, 28, 1-13, (2018).
7. Kazemi Balgeshir, M. B., Panahi Gharehkoshan, S. and Ilmakchi, M., Statistical manifolds equipped with semi-symmetric connection and Ricci-soliton equations, Reviews in Mathematical Physics, 2450055, (2024). https://doi.org/10.1142/S0129055X24500557
8. Mete Tastn, H. and Gerdan, S., Hemi-slant submanifolds of a locally conformal Kaehler manifold. Int. elec. J. Geome. 8(2), 46–56, (2015).
9. Miri, S., Ilmakchi, M. and Kazemi Balgeshir, M. B., Coisotropic warped product submanifolds of a mixed 3-Sasakian statistical manifold, Int. J. Theor. Phys. 63, 130, (2024). https://doi.org/10.1007/s10773-024-05658-z
10. Sahin. B., Almost poly-Norden manifolds. Int. J. Maps Math., 1(1), 68-79, (2018).
11. Sahin. B., Slant lightlike submanifolds of indefinite Hermitian manifolds. Balkan j. Geom. Appl., 17, 107-119, (2008).
12. Perktas, S. Y., Submanifold of almost poly-Norden Riemannian manifolds, Turk J math, 58, 1-19, (2019).
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2025-05-29
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