TL;DR
This paper introduces beta-deformations as a novel method in Finsler geometry to analyze and address the dual flatness property of Randers metrics, expanding the toolkit for Finsler geometric studies.
Contribution
The paper presents beta-deformations as a new approach for studying dual flatness in Randers metrics, with additional applications in Finsler geometry.
Findings
Beta-deformations effectively handle dual flatness in Randers metrics.
New applications of beta-deformations in Finsler geometry are demonstrated.
The method broadens analytical tools in Finsler geometry.
Abstract
In this paper, I will show how to use beta-deformations to deal with dual flatness of Randers metrics. beta-deformations is a new method in Riemann-Finsler geometry, it is introduced by the author(see arxiv:1209.0845). Later on I will provide more applications of the new kind of deformations in Finsler geometry.
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Taxonomy
TopicsAdvanced Differential Geometry Research