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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
The first metric of the above deformation is obtained by the product of Matsumoto and Riemannian metric and second one is the product of Matsumoto and 1-form metric.
📌 3 Key Takeaways
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Objective & Hypothesis:The purpose of present paper is to find the nonholonomic frames for the deformed Matsumoto type metric which are given in the forms I. α 2 α−β α = α 3 α−β II. α 2 α−β β = α 2β α−β where α 2 = aij x y i y j and β = bi x y i .
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Key Findings & Data:The purpose of present paper is to find the nonholonomic frames for the deformed Matsumoto type metric which are given in the forms I. α 2 α−β α = α 3 α−β II. α 2 α−β β = α 2β α−β where α 2 = aij x y i y j and β = bi x y i .
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Conclusion & Impact:The first metric of the above deformation is obtained by the product of Matsumoto and Riemannian metric and second one is the product of Matsumoto and 1-form metric.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Riemannian metric · one form metric · Matsumoto metric
Abstract
The purpose of present paper is to find the nonholonomic frames for the deformed Matsumoto type metric which are given in the forms I. α 2 α−β α = α 3 α−β II. α 2 α−β β = α 2β α−β where α 2 = aij x y i y j and β = bi x y i . The first metric of the above deformation is obtained by the product of Matsumoto and Riemannian metric and second one is the product of Matsumoto and 1-form metric.
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Cite This Article
TRİPATHİ, B. K., CHAUBEY, V. K. (2017). NONHOLONOMIC FRAMES FOR FINSLER SPACE WITH DEFORMED MATSUMOTO METRIC. TWMS Journal of Applied and Engineering Mathematics, Cilt: 7 - Sayı: 2, 337–342. https://ajindex.com/articles/846430