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   classification of 2-dimensional bryant-type metrics  
   
نویسنده tayebi akbar ,khoshdani tahere reza
منبع mathematical analysis and convex optimization - 2023 - دوره : 4 - شماره : 1 - صفحه:61 -68
چکیده    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.
کلیدواژه bryant metric ,generalized 4-th root metric ,4-th root metric ,(α ,β)-metric ,randers-type metric
آدرس university of qom, faculty of science, department of mathematics, iran, university of mohaghegh ardabili, faculty of mathematical science, department of mathematics, iran
پست الکترونیکی khoshdani@yahoo.com
 
     
   
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