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Journals / Manas Journal of Engineering / 2021 / Cilt: 9 - Sayı: 1

Cohomology of semi-invariant submanifolds of cosymplectic manifolds

Ramazan SARI
Pages
10–14
DOI
—
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AI Summary & Key Takeaways

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

Further, the theoretical methodology of mathematics are used to obtain results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study de Rham cohomology class for semi-invariant submanifolds of a cosymplectic manifold.
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Key Findings & Data:We show that there are de Rham cohomolgy class on semi-invariant submanifold of a cosymplectic manifold.
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Conclusion & Impact:Further, the theoretical methodology of mathematics are used to obtain results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Cohomology class · cosymplectic manifold · semi-invariant submanifold

Abstract

In this paper, we study de Rham cohomology class for semi-invariant submanifolds of a cosymplectic manifold. We show that there are de Rham cohomolgy class on semi-invariant submanifold of a cosymplectic manifold. Firstly, we define semi-invariant submanifolds of a cosyplectic manifold. We present an example for semi-invariant submanifold of a cosymplectic manifold.Later, We obtain characterizations, investigate the geometry of distributions which arise from the definition of semi-invariant submanifold. We obtain that invariant distribtion is always integrable and minimal. Moreover, necessary and sufficient conditions investigate for the anti-invariant distribution to be integrable and minimal. Finally, we prove that semi-invariant submanifold of a cosymplectic manifold has nontrivial de Rham cohomology class. Further, the theoretical methodology of mathematics are used to obtain results.

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Cite This Article

SARI, R. (2021). Cohomology of semi-invariant submanifolds of cosymplectic manifolds. Manas Journal of Engineering, Cilt: 9 - Sayı: 1, 10–14. https://ajindex.com/articles/415207

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