Dergiler / TWMS Journal of Applied and Engineering Mathematics / 2017 / Cilt: 7 - Sayı: 2

NONHOLONOMIC FRAMES FOR FINSLER SPACE WITH DEFORMED MATSUMOTO METRIC

Sayfa
337–342
Yayın Tarihi
2017-12-01
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. 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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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. 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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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: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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Bu Makaleye Atıf Yap

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

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Kaynakça (5)

  1. Holland,P.R., (1982),
  2. Electromagnetism, Particles and Anholonomy. Physics Letters, 91, 6, pp.275 Holland,P.R., (1987), Anholonomic deformations in the ether: a significance for the electrodynamic potentials. In: Hiley, B.J. Peat, F.D. (eds.), Quantum Implications. Routledge and Kegan Paul London and New York, pp.295-311. Ingarden,R.S., (1987), On Physical interpretations of Finsler and Kawaguchi spaces. Tensor N.S., 46, pp.354-360. Randers,G., (1941), On asymmetric metric in the four space of general relativity. Phys. Rev., 59, pp.195-199. Beil,R.G., (1995), Comparison of unified field theories. Tensor N.S., 56, pp.175-183. Beil,R.G., (1993), Finsler and Kaluza-Klein Gauge Theories, Intern. J. Theor. Phys., 32, 6, pp.1021 Miron,R. and Anastasiei,M., (1994), The geometry of Lagrange spaces:Theory and Applications Kluwer Acad. Publ., FTPH, no. 59. Antonelli,P.L., Bucataru,I., (2001), Finsler connections in anholonomic geometry of a Kropina space. Nonlinear Studies, 8, 1, pp.171-184. Hrimiuc,D., Shimada,H., (1996), On the L-duality between Lagrange and Hamilton manifolds. Non- linear World, 3, pp.613-641.
  3. Ioan Bucataru, Radu Miron, (2007), Finsler-Lagrange Geometry. Applications to dynamical systems CEEX ET 3174/2005-2007, and CEEX M III 12595/2007. Matsumoto,M., (1992), Theory of Finsler spaces with (α, β)-metric, Rep. Math. Phys., 31, pp.43-83. Bucataru,I., (2002), Nonholonomic frames on Finsler geometry. Balkan Journal of Geometry and its Applications, 7, 1, pp.13-27. Matsumoto,M., (1986), Foundations of Finsler geometry and special Finsler spaces, Kaishesha Press,
  4. Otsu, Japan. Tripathi, Brijesh Kumar, Pandey,K.B., and Tiwari,R.B., (2016), Nonholonomic Frame for Finsler Space with (α, β)-metric,International J. Math. Combin. Vol.1, pp.109-115. Narasimhamurthy,S.K., Mallikarjun,Y.Kumar, and Kavyashree,A.R., (2014), Nonholonomic Frames For Finsler Space With Special (α, β)-metric, International Journal of Scientific and Research Publi- cations, 4, 1, pp.1-7. Tripathi,B.K. and Chaubey,V.K., (2016), Nonholonomic frames for Finsler space with generalized Kropina metric, International Journal of Pure and Applied Mathematics, Vol.108, 4, pp.921-928, doi:10.12732/ijpam.v108i4.17. Erdelyi,A., (1956),
  5. Asymptotic expansions, Dover publications, New York.