The Journal of the Indian Mathematical Society

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Weighted Quasi-Metrics Associated with Finsler Metrics


Affiliations
1 Department of Mathematics and Statistics, School of Basic and Applied Sciences, Central University of Punjab, Bathinda, Punjab-151 401, India
     

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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.
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  • Weighted Quasi-Metrics Associated with Finsler Metrics

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Authors

Gauree Shanker
Department of Mathematics and Statistics, School of Basic and Applied Sciences, Central University of Punjab, Bathinda, Punjab-151 401, India
Sarita Rani
Department of Mathematics and Statistics, School of Basic and Applied Sciences, Central University of Punjab, Bathinda, Punjab-151 401, India

Abstract


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