Weighted quasi-metrics associated with Finsler metrics
Gauree Shanker, Sarita Rani

TL;DR
This paper introduces new classes of Finsler metrics with reversible geodesics, constructs associated weighted quasi-metrics, and explores their geometric properties and embedding characteristics.
Contribution
It presents novel Finsler metrics with reversible geodesics and develops associated weighted quasi-metrics, expanding understanding of their geometric and embedding properties.
Findings
Construction of weighted quasi-metrics from Finsler metrics
Analysis of geometric properties of weighted quasi-metric spaces
Discussion on embedding quasi-metric spaces with generalized weights
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.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Fixed Point Theorems Analysis · Geometric Analysis and Curvature Flows
