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Dergiler / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2017 / Cilt: 7 - Sayı: 2

NONHOLONOMIC FRAMES FOR FINSLER SPACE WITH DEFORMED MATSUMOTO METRIC

V. K. CHAUBEY
BRIJESH KUMAR TRIPATHI
Sayfa
337–342
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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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Amaç & Hipotez:The purpose of present paper is to find the nonholonomic frames for the deformed Matsumoto type metric which are given in the forms I. ( α2 α−β )α = α3 α−β II. ( α2 α−β )β = α2β α−β where α2 = aij (x)yi yj and β = bi(x)yi .
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Temel Bulgular & Veri:The purpose of present paper is to find the nonholonomic frames for the deformed Matsumoto type metric which are given in the forms I. ( α2 α−β )α = α3 α−β II. ( α2 α−β )β = α2β α−β where α2 = aij (x)yi yj and β = bi(x)yi .
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

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. ( α2 α−β )α = α3 α−β II. ( α2 α−β )β = α2β α−β where α2 = aij (x)yi yj and β = bi(x)yi . 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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Bu Makaleye Atıf Yap

CHAUBEY, V. K., TRIPATHI, B. K. (2017). NONHOLONOMIC FRAMES FOR FINSLER SPACE WITH DEFORMED MATSUMOTO METRIC. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, Cilt: 7 - Sayı: 2, 337–342. https://ajindex.com/articles/327521

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Kaynakça (17)

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