General spherically symmetric Finsler metrics with constant Ricci and flag curvature

2021 ◽  
Vol 76 ◽  
pp. 101754
Author(s):  
Mehran Gabrani ◽  
Bahman Rezaei ◽  
Esra Sengelen Sevim
Keyword(s):  
Flag Curvature ◽  
Finsler Metrics ◽  
Spherically Symmetric

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

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.

scholarly journals On Projectively Flat Finsler Warped Product Metrics of Constant Flag Curvature

2021 ◽  
Author(s):  
Huaifu Liu ◽  
Xiaohuan Mo
Keyword(s):  
Warped Product ◽  
Flag Curvature ◽  
Finsler Metrics ◽  
Spherically Symmetric ◽  
Product Metrics ◽  
Constant Flag Curvature ◽  
Projectively Flat ◽  
Spherically Symmetric Metric

AbstractIn this paper, we study locally projectively flat Finsler metrics of constant flag curvature. We find equations that characterize these metrics by warped product. Using the obtained equations, we manufacture new locally projectively flat Finsler warped product metrics of vanishing flag curvature. These metrics contain the metric introduced by Berwald and the spherically symmetric metric given by Mo-Zhu.

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