Research Article

Decomposability of Projective Curvature Tensor in Recurrent Finsler Space (WR-F_n)

by  Meenakshy Thakur, C. K. Mishra, Gautam Lodhi
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 100 - Issue 19
Published: August 2014
Authors: Meenakshy Thakur, C. K. Mishra, Gautam Lodhi
10.5120/17637-8403
PDF

Meenakshy Thakur, C. K. Mishra, Gautam Lodhi . Decomposability of Projective Curvature Tensor in Recurrent Finsler Space (WR-F_n). International Journal of Computer Applications. 100, 19 (August 2014), 32-34. DOI=10.5120/17637-8403

                        @article{ 10.5120/17637-8403,
                        author  = { Meenakshy Thakur,C. K. Mishra,Gautam Lodhi },
                        title   = { Decomposability of Projective Curvature Tensor in Recurrent Finsler Space (WR-F_n) },
                        journal = { International Journal of Computer Applications },
                        year    = { 2014 },
                        volume  = { 100 },
                        number  = { 19 },
                        pages   = { 32-34 },
                        doi     = { 10.5120/17637-8403 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2014
                        %A Meenakshy Thakur
                        %A C. K. Mishra
                        %A Gautam Lodhi
                        %T Decomposability of Projective Curvature Tensor in Recurrent Finsler Space (WR-F_n)%T 
                        %J International Journal of Computer Applications
                        %V 100
                        %N 19
                        %P 32-34
                        %R 10.5120/17637-8403
                        %I Foundation of Computer Science (FCS), NY, USA
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.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Finsler space projective curvature tensor recurrent Finsler space.

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