Two Families of Finsler Metrics Projectively Related to a Kropina Metric
A. Tayebi, H. Sadeghi, E. Peyghan
TL;DR
This paper investigates the conditions under which two classes of (q, a, b)-metrics are projectively related to Kropina metrics, expanding understanding of their geometric relationships.
Contribution
It provides necessary and sufficient conditions for (q, a, b)-metrics to be projectively related to Kropina metrics, a novel characterization in Finsler geometry.
Findings
Derived explicit conditions for projective relation
Extended the classification of Finsler metrics
Enhanced understanding of metric interrelations
Abstract
In this paper, we find the necessary and sufficient conditions under which two classes of (q, a, b)-metrics are projectively related to a Kropina metric.
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Taxonomy
TopicsAdvanced Differential Geometry Research