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Shanker, Gauree
- On the Hypersurface of a Finsler Space with the Special (α, β)-Metric α + β + βn+1/αn
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Authors
Gauree Shanker
1,
Ravindra
1
Affiliations
1 Department of Mathematics and Statistics, Banasthali University, Banasthali 304 022, IN
1 Department of Mathematics and Statistics, Banasthali University, Banasthali 304 022, IN
Source
The Journal of the Indian Mathematical Society, Vol 80, No 3-4 (2013), Pagination: 329-339Abstract
The purpose of the present paper is to investigate the various kinds of hypersurfaces of Finsler space with special (α, β)-Metric α + β + βn+1/αn.Keywords
Special Finsler Hypersurface, (α, β)-Metric, Hyperplane of 1st Kind, Hyperplane of 2nd Kind, Hyperplane of 3rd Kind.
- Four-Dimensional Conformally Flat Berwald and Landsberg Spaces
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Authors
Affiliations
1 Centre for Mathematics and Statistics, Central University of Punjab, Bathinda-151001, IN
1 Centre for Mathematics and Statistics, Central University of Punjab, Bathinda-151001, IN
Source
The Journal of the Indian Mathematical Society, Vol 85, No 1-2 (2018), Pagination: 241-255Abstract
The problem of conformal transformation and conformal flatness of Finsler spaces has been studied in [6], [16], [17], [20], [21]. Recently, Prasad et. al [19] have studied three dimensional conformally flat Landsberg and Berwald spaces and have obtained some important results. The purpose of the present paper is to extend the idea of conformal change to four dimensional Finsler spaces and find the suitable conditions under which a four dimensional conformally at Landsberg space becomes a Berwald space.Keywords
Miron Frame, Conformal Transformation, Conformally Flat Spaces, Berwald Spaces, Landsberg Spaces.References
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- Weighted Quasi-Metrics Associated with Finsler Metrics
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Authors
Affiliations
1 Department of Mathematics and Statistics, School of Basic and Applied Sciences, Central University of Punjab, Bathinda, Punjab-151 401, IN
1 Department of Mathematics and Statistics, School of Basic and Applied Sciences, Central University of Punjab, Bathinda, Punjab-151 401, IN
Source
The Journal of the Indian Mathematical Society, Vol 90, No 1-2 (2023), Pagination: 37-52Abstract
The current paper deals with some new classes of Finsler metrics with reversible geodesics. We construct weighted quasi-metrics associated with these metrics. Further, we investigate some important geometric properties of weighted quasi-metric space. Finally, we discuss the embedding of quasi-metric spaces with generalized weight.Keywords
Reversible Geodesics, Weighted Quasi-Metrics, Absolute Homogeneous Metrics, Metric Structure, Perimeter, Embedding.References
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