SavedAdd your journal

Journals / 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

James GATOTO
Surendra SİNGH
Pages
7–13
Publication Date
2015-06-29
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The object of the present paper is to decompose curvature tensor fields in conformal Finsler spaces.
📊
Key Findings & Data:The authors have also studied properties of the conformal decomposition tensor fields.
💡
Conclusion & Impact:The notations used in the sequel are due to H.Rund [4].
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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].

🔖

Cite This Article

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

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (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.