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Dergiler / 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
Sayfa
—
Yayın Tarihi
2026-10-13
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we have characterized generalized Sasakian space forms in via of the Tachibana operator.
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Temel Bulgular & Veri: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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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (7)

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  2. Sarkar, A., De, U.C., Some curvature properties of generalized Sasakian space forms, Lobachevskii Journal of Mathematics, 33(1)(2012), 22-27.
  3. Atçeken, M., On generalized Sasakian space forms satisfying certain conditions on the concircular curvature tensor, Bulletin of Math. Analysis and Applications, 6(1)(2014), 1-8.
  4. Alegre, P., Cariazo, A., Structures on generalized Sasakian-space-form, Differential Geom. and its application, 26(2008), 656–666.
  5. Belkhelfa, M., Deszcz, R., Verstraelen, L., Symmetry properties of Sasakianspace-forms, Soochow Journal of Mathematics, 31(2005), 611–616.
  6. Sarkar, A., Biswas, N., Certain invariant submanifolds of generalized Sasakian space forms, Afrika Matematika, 33(68)(2022).
  7. Tripathi, M.M., Gupta, P., τ−Curvature tensor on a semi-Riemannian manifold, J. Adv. Math. Studies, 4(1)(2011), 117–129.