Dergiler / İstanbul University Science Faculty The Journal Of Mathematics Physics and Astronomy / 2015 / Cilt: 6

On the decomposition of curvature tensor fields in conformal Finsler spaces II

Sayfa
7–13
Yayın Tarihi
2015-06-29
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The notations used in the sequel are due to H.Rund [4].

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The object of the present paper is to decompose curvature tensor fields in conformal Finsler spaces.
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Temel Bulgular & Veri:The authors have also studied properties of the conformal decomposition tensor fields.
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Sonuç & Katkı:The notations used in the sequel are due to H.Rund [4].
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Conformal Finsler space · conformal decomposition tensor fields · Bianchi identities

Abstract

The object of the present paper is to decompose curvature tensor fields in conformal Finsler spaces. The authors have also studied properties of the conformal decomposition tensor fields. The notations used in the sequel are due to H.Rund [4].

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Bu Makaleye Atıf Yap

GATOTO, J., SİNGH, S. (2015). On the decomposition of curvature tensor fields in conformal Finsler spaces II. İstanbul University Science Faculty The Journal Of Mathematics Physics and Astronomy, Cilt: 6, 7–13. https://ajindex.com/articles/999714

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Kaynakça (5)

  1. Knebelman M.S., Conformal geometry of generalized metric spaces, Proc. Nat. Academy. Sci. USA., 15 (1929), 376-379.
  2. Mishra C.K., Lodhi G., On decomposability of the curvature tensor in recurrent Finsler spaces, Dierential Geometry-Dynamical Systems, 10 (2008), 235-242.
  3. Misra R.B., The Bianchi identities satised by curvature tensors in a conformal Finsler space,Tensor, N.S., 18 (1967), 187-190. Rund H.,The dierential Geometry of Finsler spaces Springer-Verlag, (1959).
  4. Singh S.P., Gatoto J.K., On the decomposition of curvature tensors in recurrent conformal Finsler space, Istanbul Univ.Fac. Mat. Dergisi, 60 (2001), 73-83.
  5. Sinha B.B., Singh S.P., On decomposition of recurrent curvature tensor elds in Finsler spaces,Bull. Calc. Math. Soc., 62 (1972), 91{96.