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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
The necessary and sufficient conditions for an invariant submanifold to be totally geodesic under some conditions have been given.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, invariant submanifolds of a para-Sasakian manifold have been studied.
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Temel Bulgular & Veri:Some special submanifolds such as pseudoparallel, 2-pseudoparallel, Ricci generalized pseudoparallel, and 2-Ricci generalized pseudoparallel submanifolds of a para-Sasakian manifold have been considered.
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Sonuç & Katkı:The necessary and sufficient conditions for an invariant submanifold to be totally geodesic under some conditions have been given.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Para-Sasakian manifold · pseudoparallel · Ricci-generalized pseudoparallel and 2-pseudoparallel submanifolds
Abstract
In this paper, invariant submanifolds of a para-Sasakian manifold have been studied. Some special submanifolds such as pseudoparallel, 2-pseudoparallel, Ricci generalized pseudoparallel, and 2-Ricci generalized pseudoparallel submanifolds of a para-Sasakian manifold have been considered. The necessary and sufficient conditions for an invariant submanifold to be totally geodesic under some conditions have been given.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
Mert, T., Atçeken, M. (2023). Pseudoparallel Invariant Submanifolds of a Para-Sasakian Manifold. Turkish Journal of Mathematics and Computer Science, Volume: 15 Issue: 2. https://doi.org/10.47000/tjmcs.1124668