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

Year 2015, Volume: 6 , 7 - 13, 29.06.2015

James Gatoto , Surendra Singh

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].

Keywords

Conformal Finsler space; conformal decomposition tensor fields; Bianchi identities; recurrent conformal vector field; covariant derivative.

References

  • Knebelman M.S., Conformal geometry of generalized metric spaces, Proc. Nat. Academy. Sci. USA., 15 (1929), 376-379.
  • Mishra C.K., Lodhi G., On decomposability of the curvature tensor in recurrent Finsler spaces, Dierential Geometry-Dynamical Systems, 10 (2008), 235-242.
  • 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).
  • 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.
  • Sinha B.B., Singh S.P., On decomposition of recurrent curvature tensor elds in Finsler spaces,Bull. Calc. Math. Soc., 62 (1972), 91{96.

Year 2015, Volume: 6 , 7 - 13, 29.06.2015

James Gatoto , Surendra Singh

Abstract

References

  • Knebelman M.S., Conformal geometry of generalized metric spaces, Proc. Nat. Academy. Sci. USA., 15 (1929), 376-379.
  • Mishra C.K., Lodhi G., On decomposability of the curvature tensor in recurrent Finsler spaces, Dierential Geometry-Dynamical Systems, 10 (2008), 235-242.
  • 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).
  • 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.
  • Sinha B.B., Singh S.P., On decomposition of recurrent curvature tensor elds in Finsler spaces,Bull. Calc. Math. Soc., 62 (1972), 91{96.
There are 6 citations in total.

Details

Primary Language English
Journal Section Mathematics
Authors

James Gatoto

Surendra Singh This is me

Publication Date June 29, 2015
Published in Issue Year 2015 Volume: 6

Cite

APA Gatoto, J., & Singh, 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, 6, 7-13.
AMA Gatoto J, Singh S. On the decomposition of curvature tensor fields in conformal Finsler spaces II. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. June 2015;6:7-13.
Chicago Gatoto, James, and Surendra Singh. “On the Decomposition of Curvature Tensor Fields in Conformal Finsler Spaces II”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 6, June (June 2015): 7-13.
EndNote Gatoto J, Singh S (June 1, 2015) On the decomposition of curvature tensor fields in conformal Finsler spaces II. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 6 7–13.
IEEE J. Gatoto and S. Singh, “On the decomposition of curvature tensor fields in conformal Finsler spaces II”, İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, vol. 6, pp. 7–13, 2015.
ISNAD Gatoto, James - Singh, Surendra. “On the Decomposition of Curvature Tensor Fields in Conformal Finsler Spaces II”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 6 (June 2015), 7-13.
JAMA Gatoto J, Singh S. On the decomposition of curvature tensor fields in conformal Finsler spaces II. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2015;6:7–13.
MLA Gatoto, James and Surendra Singh. “On the Decomposition of Curvature Tensor Fields in Conformal Finsler Spaces II”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, vol. 6, 2015, pp. 7-13.
Vancouver Gatoto J, Singh S. On the decomposition of curvature tensor fields in conformal Finsler spaces II. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2015;6:7-13.