Projectively Flat Finsler Metric with Special Curvature Properties

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DOI : https://doi.org/10.56424/jts.v6i01.10455
Published Jun 30, 2007

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S. K. Narasimhamurthy Shanker
Department of PG studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451,Shimoga, Karnataka, INDIA
H Anjan Kumar
Department of PG studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451,Shimoga, Karnataka, INDIA
Ajith Rao
Department of Mathematics, Mangalore Institute of Technology and Engineering Badaga Mijar, Moodabidre- 574225, Mangalore, Karnataka, INDIA

Abstract

The (α;β) metric is a Finsler metric which is constructed from Riemannian metricαand differential 1-formβ. In this paper, we find the mean Cartan torsion I and mean Landsberg curvature J for Kropina metric L = α 2β and also find the neccessary and sufficient condition for J + cLI = 0.

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How to Cite
Shanker, S. K. N., Kumar, H., & Rao, A. (2007). Projectively Flat Finsler Metric with Special Curvature Properties. Journal of the Tensor Society, 6(01), 117-126. https://doi.org/10.56424/jts.v6i01.10455
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Vol 6 No 01 (2012): Journal of The Tensor Society
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Reveiw Article
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