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Kumar, Manoj
- On Finsler Space with a Special (α, β)-Metric
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Authors
Affiliations
1 DST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi-221 005, IN
1 DST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi-221 005, IN
Source
The Journal of the Indian Mathematical Society, Vol 82, No 3-4 (2015), Pagination: 207-218Abstract
In the present paper a special (α, β)-metric, which is considered as a generalization of the Rander's metric as well as of the Z. Shen's square metric, has been studied and the conditions for a Finsler space with this special metric to be a Berwald space, a Douglas space and Weakly-Berwald space respectively, have also been found.Keywords
Finsler Space, (α, β)-Metric, Berwald Spaces, Douglas Spaces, Weakly Berwald Spaces.
- On Conformal Kropina Transformation of m-TH Root Metrics
Abstract Views :182 |
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Authors
Manoj Kumar
1,
C. K. Mishra
2
Affiliations
1 Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura - 281406, IN
2 Department of Mathematics and Statistics, Dr. Ram Manohar Lohiya Awadh University, Faizabad - 224201, IN
1 Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura - 281406, IN
2 Department of Mathematics and Statistics, Dr. Ram Manohar Lohiya Awadh University, Faizabad - 224201, IN
Source
The Journal of the Indian Mathematical Society, Vol 88, No 1-2 (2021), Pagination: 97–104Abstract
In this paper, we consider conformal Kropina transformation of m-th ischolar_main metric and for this find Fundamental metric tensors and Spray coefficients. Moreover, condition for locally projectively flat on conformal Kropina transformation of m-th ischolar_main metric has been found.Keywords
Finsler space, conformal transformation, Kropina metrics, m-th ischolar_main metrics, locally projectively flatReferences
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