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.
Tayebi, A. & Reza Khoshdani, T. (2023). Classification of 2-Dimensional Bryant-Type Metrics. Mathematical Analysis and Convex Optimization, 4(1), 61–68. https://doi.org/10.22034/maco.4.1.5
MLA
Tayebi, A., & Reza Khoshdani, T. "Classification of 2-Dimensional Bryant-Type Metrics", Mathematical Analysis and Convex Optimization, 4, 1, 2023, 61–68. doi: 10.22034/maco.4.1.5
HARVARD
Tayebi, A., & Reza Khoshdani, T. (2023). 'Classification of 2-Dimensional Bryant-Type Metrics', Mathematical Analysis and Convex Optimization, 4(1), pp. 61–68. doi: 10.22034/maco.4.1.5
CHICAGO
Tayebi, A. & Reza Khoshdani, T., "Classification of 2-Dimensional Bryant-Type Metrics." Mathematical Analysis and Convex Optimization, 4 1 (2023): 61–68, doi: 10.22034/maco.4.1.5
VANCOUVER
Tayebi A., Reza Khoshdani T. Classification of 2-Dimensional Bryant-Type Metrics. MACO. 2023;4(1):61–68. doi: 10.22034/maco.4.1.5
Mathematical Analysis and Convex Optimization