Conformally related Douglas metrics are Randers
Vladimir S. Matveev, Samaneh Saberali
TL;DR
This paper proves that in two dimensions, any two conformally related Douglas metrics are necessarily Randers metrics, revealing a specific geometric relationship.
Contribution
It establishes a new link between conformally related Douglas metrics and Randers metrics in two dimensions.
Findings
Conformally related Douglas metrics in 2D are Randers.
The result clarifies the structure of Douglas metrics under conformal transformations.
Provides a characterization of two-dimensional Douglas metrics.
Abstract
We show that two-dimensional conformally related Douglas metrics are Randers
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Taxonomy
TopicsAdvanced Differential Geometry Research