Spherically Symmetric Metrics of Constant Flag Curvature

2018 ◽  
pp. 93-128
Author(s):  
Enli Guo ◽  
Xiaohuan Mo
Keyword(s):  
Flag Curvature ◽  
Spherically Symmetric ◽  
Constant Flag Curvature ◽  
Symmetric Metrics

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.

scholarly journals A Note on the Transformability of Spherically Symmetric Metrics

1953 ◽  
Vol 9 (1) ◽  
pp. 13-16 ◽  
Author(s):  
Paul Kustaanheimo
Keyword(s):  
Spherically Symmetric ◽  
Symmetric Metrics ◽  
Spherically Symmetric Metric

SummaryIt is shown that every spherically symmetric metric can be transformed into the isotropic form. As illustration an example is given.

scholarly journals Sprays metrizable by Finsler functions of constant flag curvature

2013 ◽  
Vol 31 (3) ◽  
pp. 405-415 ◽  
Author(s):  
Ioan Bucataru ◽  
Zoltán Muzsnay
Keyword(s):  
Flag Curvature ◽  
Constant Flag Curvature
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