We have also calculated the normal curvatures and Euler's formula in terms of the 1-st and 2-nd mean curvatures for the generalized null scrolls.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, we have obtained the higher order mean curvatures which is defined as the 'elemantary symmetric functions of the principal curvatures of the generalized null scroll in n-dimensional Lorentzian space $R_1^n$ .
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Key Findings & Data:In this study, we have obtained the higher order mean curvatures which is defined as the 'elemantary symmetric functions of the principal curvatures of the generalized null scroll in n-dimensional Lorentzian space $R_1^n$ .
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Conclusion & Impact:We have also calculated the normal curvatures and Euler's formula in terms of the 1-st and 2-nd mean curvatures for the generalized null scrolls.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this study, we have obtained the higher order mean curvatures which is defined as the 'elemantary symmetric functions of the principal curvatures of the generalized null scroll in n-dimensional Lorentzian space $R_1^n$ . We have also calculated the normal curvatures and Euler's formula in terms of the 1-st and 2-nd mean curvatures for the generalized null scrolls.
Özet
Bu çalışmada n-boyutlu Lorentz uzayında genelleştirilmiş null scroll'un, asli eğriliklerin simetrik fonksiyonları olarak tanımlı olan yüksek mertebeden ortalama eğriliklerini elde ettik. Ayrıca, genelleştirilmiş null scroll'lar için normal eğrilik ve Euler Formülünü 1. ve 2. ortalama eğrilik cinsinden hesapladık.
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Cite This Article
ERGÜT, M., BALGETİR, H. (2022). $R_1^n$ uzayında genelleştirilmiş null scroll' ların J. ortalama eğriliği ve Euler teoremi. Fırat Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 16 - Sayı: 3, 519–525. https://ajindex.com/articles/513677