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On Landsberg and Berwald Spaces of Two Dimensional Finslerian Space with Special (α, β)-Metric

DOI: 10.4236/oalib.1105244, PP. 1-8

Subject Areas: Mathematical Analysis

Keywords: Finsler Space, Berwald Space, Cartan Connection, Landsberg Space, Main Scalar

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Abstract

In the present paper, we find a condition for the two-dimensional Finsler space with a special (α, β)-metric L(α, β)=α+α2/β to be a Berwald space. Also we have proved that, if the two-dimensional Finsler space with above metric is a Landsberg space, then it is a Berwald space.

Cite this paper

Kumar, P. , Madhu, T. S. and Sharath, B. R. (2019). On Landsberg and Berwald Spaces of Two Dimensional Finslerian Space with Special (α, β)-Metric. Open Access Library Journal, 6, e5244. doi: http://dx.doi.org/10.4236/oalib.1105244.

References

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