This paper presents a study of R-quadratic Finsler spaces and a new class of Finsler metrics called ¯D-metrics. The non-Riemannian curvatures of R-quadratic Finsler spaces and their special case, the R-quadratic generalized (α, β)-metrics, are analyzed to gain insights into their behavior. The paper then introduces the ¯D-metrics, which are shown to be a proper subset of the class of GDW -metrics and contain the class of Douglas metrics. This paper contributes to the understanding of R-quadratic Finsler spaces and their properties, and presents a novel class of Finsler metrics with potential applications in the field.
Sadeghzadeh,N. and SAJJADI MOGHADAM,N. (2023). THE CURVATURES OF R-QUADRATIC FINSLER METRICS. Mathematical Analysis and Convex Optimization, 4(2), 31-43. doi: 10.22034/maco.4.2.4
MLA
Sadeghzadeh,N. , and SAJJADI MOGHADAM,N. . "THE CURVATURES OF R-QUADRATIC FINSLER METRICS", Mathematical Analysis and Convex Optimization, 4, 2, 2023, 31-43. doi: 10.22034/maco.4.2.4
HARVARD
Sadeghzadeh N., SAJJADI MOGHADAM N. (2023). 'THE CURVATURES OF R-QUADRATIC FINSLER METRICS', Mathematical Analysis and Convex Optimization, 4(2), pp. 31-43. doi: 10.22034/maco.4.2.4
CHICAGO
N. Sadeghzadeh and N. SAJJADI MOGHADAM, "THE CURVATURES OF R-QUADRATIC FINSLER METRICS," Mathematical Analysis and Convex Optimization, 4 2 (2023): 31-43, doi: 10.22034/maco.4.2.4
VANCOUVER
Sadeghzadeh N., SAJJADI MOGHADAM N. THE CURVATURES OF R-QUADRATIC FINSLER METRICS. MACO, 2023; 4(2): 31-43. doi: 10.22034/maco.4.2.4
Mathematical Analysis and Convex Optimization