On Spherically Symmetric Finsler Metrics

2019 ◽  
pp. 245-250
Author(s):  
Nasrin Sadeghzadeh
Keyword(s):  
Finsler Metrics ◽  
Spherically Symmetric

scholarly journals On spherically symmetric Finsler metrics with vanishing Douglas curvature

2013 ◽  
Vol 31 (6) ◽  
pp. 746-758 ◽  
Author(s):  
Xiaohuan Mo ◽  
Newton Mayer Solórzano ◽  
Keti Tenenblat
Keyword(s):  
Finsler Metrics ◽  
Spherically Symmetric ◽  
Douglas Curvature

ON SPHERICALLY SYMMETRIC FINSLER METRICS WITH ISOTROPIC BERWALD CURVATURE

2013 ◽  
Vol 10 (10) ◽  
pp. 1350054 ◽  
Author(s):  
ENLI GUO ◽  
HUAIFU LIU ◽  
XIAOHUAN MO
Keyword(s):  
Orthogonal Group ◽  
Finsler Metric ◽  
Finsler Metrics ◽  
Spherically Symmetric ◽  
Randers Metric

A Finsler metric F is said to be spherically symmetric if the orthogonal group O(n) acts as isometries of F. In this paper, we show that every spherically symmetric Finsler metric of isotropic Berwald curvature is a Randers metric. We also construct explicitly a lot of new isotropic Berwald spherically symmetric Finsler metrics.

scholarly journals Spherically symmetric Finsler metrics with constant Ricci and flag curvature

2015 ◽  
Vol 87 (3-4) ◽  
pp. 463-472 ◽  
Author(s):  
ESRA SENGELEN SEVIM ◽  
ZHONGMIN SHEN ◽  
SEMAIL ULGEN
Keyword(s):  
Flag Curvature ◽  
Finsler Metrics ◽  
Spherically Symmetric

Finsler Warped Product Metrics of Douglas Type

2019 ◽  
Vol 62 (1) ◽  
pp. 119-130 ◽  
Author(s):  
Huaifu Liu ◽  
Xiaohuan Mo
Keyword(s):  
Differential Equation ◽  
Warped Product ◽  
Finsler Metrics ◽  
Spherically Symmetric ◽  
Product Metrics ◽  
Douglas Curvature

AbstractIn this paper, we study the warped structures of Finsler metrics. We obtain the differential equation that characterizes Finsler warped product metrics with vanishing Douglas curvature. By solving this equation, we obtain all Finsler warped product Douglas metrics. Some new Douglas Finsler metrics of this type are produced by using known spherically symmetric Douglas metrics.

On projectively related spherically symmetric Finsler metrics

2016 ◽  
Vol 88 (1-2) ◽  
pp. 249-259 ◽  
Author(s):  
XIAOHUAN MO ◽  
XIAOYANG WANG
Keyword(s):  
Finsler Metrics ◽  
Spherically Symmetric

On projective invariants of spherically symmetric Finsler spaces in Rn

2015 ◽  
Vol 12 (07) ◽  
pp. 1550074 ◽  
Author(s):  
Nasrin Sadeghzadeh ◽  
Maedeh Hesamfar
Keyword(s):  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Flag Curvature ◽  
Finsler Metrics ◽  
Spherically Symmetric ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Finsler Spaces ◽  
Projective Invariants ◽  
Necessary And Sufficient

In this paper, we study projective invariants of spherically symmetric Finsler metrics in Rn. We find the necessary and sufficient conditions for the metrics to be Weyl, Douglas and generalized Douglas–Weyl (GDW) types. In particular, we find the necessary and sufficient condition for the metrics to be of scalar flag curvature. Also we show that two classes of GDW and Douglas spherically symmetric Finsler metrics coincide.

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