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Journals / Communications in Advanced Mathematical Sciences / 2019 / Cilt: 2 - Sayı: 4

Some New Characterizations of Symplectic Curve in 4-Dimensional Symplectic Space

Esra ÇİÇEK ÇETİN
Mehmet BEKTAŞ
Pages
331–334
Publication Date
2019-12-29
DOI
—
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AI Summary & Key Takeaways

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

Later we obtained the conditions for Symplectic Curve to lie on some subspaces of $% 4$-Dimensional Symplectic Space and we give some characterizations and theorems for these curves.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:It is well known that there exist characterizations for curve in Euclidean space.$\ $Also, a lot of authors extended this characterizations for Minkowski space and obtained very different results.
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Key Findings & Data:In this paper, we introduce the geometric properties of Symplectic Curve in $% 4$-Dimensional Symplectic Space which given by \cite{7,10}.
💡
Conclusion & Impact:Later we obtained the conditions for Symplectic Curve to lie on some subspaces of $% 4$-Dimensional Symplectic Space and we give some characterizations and theorems for these curves.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Symplectic curve · Symplectic space

Abstract

It is well known that there exist characterizations for curve in Euclidean space.$\ $Also, a lot of authors extended this characterizations for Minkowski space and obtained very different results. In this paper, we introduce the geometric properties of Symplectic Curve in $% 4$-Dimensional Symplectic Space which given by \cite{7,10}. Later we obtained the conditions for Symplectic Curve to lie on some subspaces of $% 4$-Dimensional Symplectic Space and we give some characterizations and theorems for these curves.

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Cite This Article

ÇETİN, E. Ç., BEKTAŞ, M. (2019). Some New Characterizations of Symplectic Curve in 4-Dimensional Symplectic Space. Communications in Advanced Mathematical Sciences, Cilt: 2 - Sayı: 4, 331–334. https://ajindex.com/articles/748282

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