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Journals / International Electronic Journal of Geometry / 2021 / Cilt: 14 - Sayı: 2

International Electronic Journal of Geometry

Laurian-Ioan Pi¸scoran
Pages
231–238
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

The aim of this paper is to find the nonholonomic frame for this important kind of (α, β)-metric and also to investigate the Frobenius norm for the Hessian generated by this kind of metri

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Recently, in paper [14], we have introduced the following deformed (α, β)-metric: F (α, β) = β 2 + α 2 (a + 1) α +β where α = p aijy iy j is a Riemannian metric; β = biy i is a 1-form, | | < 2 √ a + 1 is a real parameter and a ∈ 1 4 , +∞ is a real positive scalar.
📊
Key Findings & Data:Recently, in paper [14], we have introduced the following deformed (α, β)-metric: F (α, β) = β 2 + α 2 (a + 1) α +β where α = p aijy iy j is a Riemannian metric; β = biy i is a 1-form, | | < 2 √ a + 1 is a real parameter and a ∈ 1 4 , +∞ is a real positive scalar.
💡
Conclusion & Impact:The aim of this paper is to find the nonholonomic frame for this important kind of (α, β)-metric and also to investigate the Frobenius norm for the Hessian generated by this kind of metri
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

Recently, in paper [14], we have introduced the following deformed (α, β)-metric: F (α, β) = β 2 + α 2 (a + 1) α +β where α = p aijy iy j is a Riemannian metric; β = biy i is a 1-form, | | < 2 √ a + 1 is a real parameter and a ∈ 1 4 , +∞ is a real positive scalar. The aim of this paper is to find the nonholonomic frame for this important kind of (α, β)-metric and also to investigate the Frobenius norm for the Hessian generated by this kind of metri

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Cite This Article

Pi¸scoran, L. (2022). International Electronic Journal of Geometry. International Electronic Journal of Geometry, Cilt: 14 - Sayı: 2, 231–238. https://ajindex.com/articles/539563

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