Volume 4, Issue 1 (6-2023)                   MACO 2023, 4(1): 61-68 | Back to browse issues page

‎ 10.22034/maco.4.1.5

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Tayebi A, Khoshdani T R. Classification of 2-Dimensional Bryant-Type Metrics. MACO 2023; 4 (1) :61-68
URL: http://maco.lu.ac.ir/article-1-131-en.html
Classification of 2-Dimensional Bryant-Type Metrics
Akbar Tayebi * , Tahere Reza Khoshdani
Abstract:   (216 Views)
The class of Bryant-type metrics is a  natural extension of the class of 4-th root Finsler metrics which are used in Biology as ecological metrics. In this paper, we  classify  Bryant-type metrics admitting an $(alpha, beta)$-metric on a two-dimensional  manifold and show that it contains two classes of non-Riemannian $(alpha, beta)$-metrics, specially Randers-type metrics. This might provide fine insights into a possible theory of deformations of Finsler norms.
Keywords: Bryant metric, generalized $4$-th root metric, $4$-th root metric, $(alpha, beta)$-metric, Randers-type metric.
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Type of Study: Research Article | Subject: Mathematical Analysis
Published: 2024/02/2
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