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

OALibJ > Vol.6 No.3, March 2019

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

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DOI: 10.4236/oalib.1105244 415 Downloads 957 Views Citations

Author(s)

Pradeep Kumar¹, T. S. Madhu¹, B. R. Sharath²

Affiliation(s)

¹Department of Mathematics, Acharya Institute of Technology, Soladevanahalli, Bengaluru, India.
²Department of Mathematics, Vemana Institute of Technology, Bengaluru, India.

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.

KEYWORDS

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

Share and Cite:

Kumar, P. , Madhu, T. and Sharath, B. (2019) On Landsberg and Berwald Spaces of Two Dimensional Finslerian Space with Special (α, β)-Metric. Open Access Library Journal, 6, 1-8. doi: 10.4236/oalib.1105244.

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