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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 18 Issue: 3

Some Important Results for Invariant Submanifolds of Generalized Sasakian Space Forms

Tuğba Mert(CUMHURİYET ÜNİVERSİTESİ)0000-0001-8258-8298
Mehmet Atçeken(AKSARAY UNIVERSITY)0000-0002-1242-4359
Pages
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Publication Date
2026-10-13
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

After obtaining important and interesting properties for the invariant submanifolds of generalized Sasakian space forms, we have provided an example to support our theorems and results.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we have characterized generalized Sasakian space forms in via of the Tachibana operator.
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Key Findings & Data:We have examined the invariant submanifolds of this manifold according to certain important conditions established using the Tachibana operator and the most significant curvature tensors used to characterizing the geometry of the manifold.
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Conclusion & Impact:After obtaining important and interesting properties for the invariant submanifolds of generalized Sasakian space forms, we have provided an example to support our theorems and results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Generalized Sasakian space forms · Tachibana operator · invariant submanifold

Abstract

In this paper, we have characterized generalized Sasakian space forms in via of the Tachibana operator. We have examined the invariant submanifolds of this manifold according to certain important conditions established using the Tachibana operator and the most significant curvature tensors used to characterizing the geometry of the manifold. After obtaining important and interesting properties for the invariant submanifolds of generalized Sasakian space forms, we have provided an example to support our theorems and results.

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Cite This Article

Mert, T., Atçeken, M. (2026). Some Important Results for Invariant Submanifolds of Generalized Sasakian Space Forms. Turkish Journal of Mathematics and Computer Science, Volume: 18 Issue: 3. https://doi.org/10.47000/tjmcs.1575521

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References (7)

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