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Some solitons on anti-invariant submanifold of LP-Kenmotsu manifold admitting Zamkovoy connection | ||
| Journal of Hyperstructures | ||
| دوره 14، شماره 1، 2025، صفحه 151-166 اصل مقاله (1.63 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2024.15257.1020 | ||
| نویسندگان | ||
| Abhijit Mandal* 1؛ Meghlal Mallik2 | ||
| 1Raiganj Surendranath Mahavidyalaya | ||
| 2Department of Mathematics, Raiganj Surendranath Mahavidyalaya, Raiganj, west Bengal, India | ||
| چکیده | ||
| In this paper we prove some curvature properties of anti-invariant submanifold of Lorentzian para-Kenmotsu manifold (briefly, LP-Kenmotsu manifolds) with respect to Zamkovoy connection (∇∗). Next, we study Einstein soliton on anti-invariant submanifold of LP-Kenmotsu manifold with respect to Zamkovoy connection. Further, we study η-Einstein soliton on this submanifold with respect to Zamkovoy connection under different curvature conditions. Finally, we give an example of anti-invariant submanifold of 5-dimensional LP-Kenmotsu manifold admitting η-Einstein soliton with respect to ∇∗ and verify a relation on it. | ||
| کلیدواژه‌ها | ||
| Lorentzian para-Kenmotsu manifold؛ Anti-invariant submanifold؛ Zamkovoy connection؛ η-Einstien soliton؛ concircular curvature tensor | ||
| مراجع | ||
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