R - Projective Motion in a Finsler Space Fn* with a Non-symmetric Connection

Authors

  • Sanjay K. Pandey  Department of Mathematics, Shri L. B. S. Degree College, Gonda, Uttar Pradesh, India

DOI:

https://doi.org/10.32628/IJSRSET22918

Keywords:

R-Projective Motion, R-Curvature Collineation, Ricci- Collineation, Non-Symmetric Connection.

Abstract

We have studied the R ?-Projective motion in a Finsler space Fn* equipped with a non-symmetric connection. R ? - Curvature collineation and Ricci- Collineation have also been studied in the above context and new results have been obtained.

References

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  2. Rund, H. The differential geometry of Finsler spaces, Springer-Verlag., Berlin (1959).
  3. Yano, k . The theory of Lie-derivatives and its applications, North Holland Publ. Co., Amsterdam (1957).
  4. Katzin, G.H. Levine, J. and Davies, W.R . Curvature collineations of Finsler spaces, Tensor (NS) 3, 33-41 (1977).
  5. Pande, H.D. and Kumar, A. Special curvature collineation and projective symmetry in a Finsler space, Acad. Naz. dei Lincei Rend. Ser. XI, 52(1), 37-45, (1973).
  6. Singh, U.P. and Prasad B.N. Special curvature collineation in a Finsler space, Acad. Naz. dei Lincei Rend. Ser. VIII, 50(2), 82-87, (1971).
  7. Vranceanu, G.H. Lectii de geometrie differentiala, Vol I, EDP, BUC, (1962).
  8. Cartan, E Les espace de Finsler, Actualities, 79, Paris (1934).

International Journal of Scientific Research in Science, Engineering and Technology

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Published

2020-06-30

Issue

Volume 7, Issue 3, May-June-2020

Section

Research Articles

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How to Cite

[1]
Sanjay K. Pandey "R - Projective Motion in a Finsler Space Fn* with a Non-symmetric Connection" International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 7, Issue 3, pp.511-517, May-June-2020. Available at doi : https://doi.org/10.32628/IJSRSET22918