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Journals / TWMS Journal of Applied and Engineering Mathematics / 2017 / Volume: 7 Issue: 2

NONHOLONOMIC FRAMES FOR FINSLER SPACE WITH DEFORMED MATSUMOTO METRIC

Brijesh Kumar Tripathi(Department of Mathematics, L.E. College, Morbi, Samakathe Morbi-2,(Gujrat), 363642, India)
V. K. Chaubey(Department of Applied Sciences, Buddha Institute of Technology, Gorakhpur, U.P., 273209, India)
Pages
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Publication Date
2017-12-01
DOI
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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: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

Tripathi, B. K., Chaubey, V. K. (2017). NONHOLONOMIC FRAMES FOR FINSLER SPACE WITH DEFORMED MATSUMOTO METRIC. TWMS Journal of Applied and Engineering Mathematics, Volume: 7 Issue: 2. https://ajindex.com/articles/1604548

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