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arxiv: 1801.05636 · v2 · pith:QRNX7RZAnew · submitted 2018-01-17 · 🧮 math.DG

Weighted quasi-metrics associated with Finsler metrics

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keywords metricsweightedassociatedfinslerquasi-metricquasi-metricssomeclasses
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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.

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