Title of article :
Classification of 2-Dimensional Bryant-Type Metrics
Author/Authors :
Tayebi ، Akbar Department of Mathematics - Faculty of Science - University of Qom , Khoshdani ، Tahere Reza Department of Mathematics - Faculty of Mathematical Science - University of Mohaghegh Ardabili
Abstract :
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 (α, β)-metric on a two-dimensional manifold and show that it contains two classes of non-Riemannian (α, β)-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 , (α , β) , metric , Randers , type metric
Journal title :
Mathematical Analysis and Convex Optimization
Journal title :
Mathematical Analysis and Convex Optimization
