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Decomposability of Projective Curvature Tensor in Recurrent Finsler Space (WR-F_n)
International Journal of Computer Applications
© 2014 by IJCA Journal
Volume 100 - Number 19
Year of Publication: 2014
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10.5120/17637-8403 |
{bibtex}pxc3898403.bib{/bibtex}
Abstract
The decomposition of curvature tensor field was studied by K. Takano[1]. The decomposability of curvature tensor in Finsler manifold was studied by Pandey[2]. The purpose of the present chapter is to decompose the Projective curvature tensor in recurrent Finsler space and study the properties of conformal decomposition tensor.
References
- K. Takano, 1961, Affine motion in non RiemanninK^*-space I, & II, III(with M. Okumura), IV & V, Tensor, N. S. , 11, 137-143, 161-173, 174-181, 245-253, 270-278.
- P. N. Pandey, 1981, On decomposability of curvature tensor of a Finsler manifold, ActaMathematica, Academia Scieniarum Hungaricae, Tomus 38(1-4) (1981), 109-116.
- H. Rund, 1959, The Differential Geometry of Finsler spaces. Springer-Verlag, Berlin.
- B. B. Sinha, S. P. Singh, 1971,On Recurrent Finsler spaces. Rev. Roum. Pures Et Appl Tome XVI, No. 6, Bucarest, 977-986.
- B. B. Sinha, S. P. Singh, 1970,On recurrent spaces of second order in Finsler spaces, Yokohama Math. J. 18, 27-32.
- B. B. Sinha, S. P. Singh, 1973, Recurrent Finsler Space of second order II, Rep. Indian J. Of pure and App. Math, Vol. 4, No. 1, 45-50.
- B. B. Sinha, S. P. Singh and R. P. Tripathi,197, On Recurrent Finsler spaces. Rev. Roum. Pures Et Appl Tome XVI, No. 6 Bucarest, 1971, 977-986.