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

by Meenakshy Thakur, C. K. Mishra, Gautam Lodhi
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 100 - Number 19
Year of Publication: 2014
Authors: Meenakshy Thakur, C. K. Mishra, Gautam Lodhi
10.5120/17637-8403

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 },
issue_date = { August 2014 },
volume = { 100 },
number = { 19 },
month = { August },
year = { 2014 },
issn = { 0975-8887 },
pages = { 32-34 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume100/number19/17637-8403/ },
doi = { 10.5120/17637-8403 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:30:25.469885+05:30
%A Meenakshy Thakur
%A C. K. Mishra
%A Gautam Lodhi
%T Decomposability of Projective Curvature Tensor in Recurrent Finsler Space (WR-F_n)
%J International Journal of Computer Applications
%@ 0975-8887
%V 100
%N 19
%P 32-34
%D 2014
%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
  1. 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.
  2. P. N. Pandey, 1981, On decomposability of curvature tensor of a Finsler manifold, ActaMathematica, Academia Scieniarum Hungaricae, Tomus 38(1-4) (1981), 109-116.
  3. H. Rund, 1959, The Differential Geometry of Finsler spaces. Springer-Verlag, Berlin.
  4. B. B. Sinha, S. P. Singh, 1971,On Recurrent Finsler spaces. Rev. Roum. Pures Et Appl Tome XVI, No. 6, Bucarest, 977-986.
  5. B. B. Sinha, S. P. Singh, 1970,On recurrent spaces of second order in Finsler spaces, Yokohama Math. J. 18, 27-32.
  6. 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.
  7. 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

Keywords

Finsler space projective curvature tensor recurrent Finsler space.

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