On Certain Special Finsler Spaces of Dimension Five
Journal Title: International Journal of Engineering and Science Invention - Year 2017, Vol 6, Issue 9
Abstract
L. Berwald [1-3] developed the theory of two dimensional Finsler spaces using a special orthonormal frame. His study was based on two scalars I and R, which were scalar components of the torsion tensor and the curvature tensor with respect to orthonormal frame. A. Moor [4] developed the theory of three dimensional Finsler spaces using a special orthonormal frame whose first vector was the normalized supporting element and the second vector was the normalized torsion tensor. He found three main scalars which are regarded as a generalization of Berwald main scalar I. Makoto Matsumoto [5] also studied three dimensional Finsler spaces using Moor's orthonormal frame. He obtained some results for certain Finsler spaces. T. N. Pandey and D. K. Diwedi [6] extended this idea to four dimensional Finsler spaces. P. N. Pandey and M. K. Gupta [7] discussed certain special Finsler spaces of dimension four and obtained some results for such spaces. Gauree Shankar, G. C. Chaubey and Vinay Pandey [8] discussed five dimensional Finsler space on the basis of Miron frame and find some interesting results. In this paper, we have discussed certain special Finsler spaces of dimension five and obtained some results for such spaces.
Authors and Affiliations
Anamika Rai, S. K. Tiwari
Keywords
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