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 and Reza Khoshdani,T . (2023). Classification of 2-Dimensional Bryant-Type Metrics. Mathematical Analysis and Convex Optimization, 4(1), 61-68. doi: 10.22034/maco.4.1.5
MLA
Tayebi,A , and 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
A Tayebi and T Reza Khoshdani, "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