On Infinitesimal Transformations in A Finsler Space

Authors

  • Rajesh Kr. Srivastava  Department of Mathematics, P.B.(P.G.) College , Pratapgarh, Uttar Pradesh, India

DOI:

https://doi.org/10.32628/IJSRST52310555

Keywords:

Finsler spaces , Projective transformation ,Affine and non-affine infinitesimal projective transformation , Lie-derivative.

Abstract

In the present communication studies have been carried out with special reference to infinitesimal projective and special projective transformations in a Finsler space and accordingly results have been derived in the form of theorems in a projective symmetric and non-symmetric Finsler space.

References

  1. Misra, R. B.: A Symmetric Finsler space ,Tensor (N.S.) 24(1972),346-350.
  2. Misra, R.B.: The projective transformation in a Finsler space ,Ann.de la Soc.Sci. de Bruxelles,80(1966),227-239.
  3. Pande , H.D. and : Special infinitesimal projective transformation in a Finsler
  4. Kumar,A. space,Accad.Naz.dei.Lincei Rend.58(3-4)(1974),190-193.
  5. Rund ,H. : The differential geometry of Finsler of Finsler spaces ,Springer Verlag(1959), Berlin.
  6. Sinha ,R.S.: On projective motion in a Finsler space with recurrent curvature ,Tensor (N.S.)1,21(1970),124-126.
  7. Takano,K. :On projective motion in Finsler space with bi-recurrent curvature ,Tensor (N.S.)12(1962),28-32.
  8. Yano,K.: The theory of Lie-derivatives and its applications ,North Holand Publ.Co.(1957), Amesterdam, Holland.

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Published

2023-10-30

Issue

Section

Research Articles

How to Cite

[1]
Rajesh Kr. Srivastava "On Infinitesimal Transformations in A Finsler Space" International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 10, Issue 5, pp.382-390, September-October-2023. Available at doi : https://doi.org/10.32628/IJSRST52310555