A new class of projectively flat Finsler metrics in terms of hypergeometric functions

2012 ◽  
Vol 81 (3-4) ◽  
pp. 421-434 ◽  
Author(s):  
LIBING HUANG
Keyword(s):  
Hypergeometric Functions ◽  
Finsler Metrics ◽  
New Class ◽  
Projectively Flat

The Projectively Flat Conditions of One Special Class (α, β)-Metrics

2013 ◽  
Vol 756-759 ◽  
pp. 2528-2532
Author(s):  
Wen Jing Zhao ◽  
Yan Yan ◽  
Li Nan Shi ◽  
Bo Chao Qu
Keyword(s):  
Special Class ◽  
Riemannian Metric ◽  
Class I ◽  
Flag Curvature ◽  
Finsler Metrics ◽  
Important Class ◽  
Randers Metric ◽  
New Class ◽  
Projectively Flat ◽  
Randers Metrics

The-metric is an important class of Finsler metrics including Randers metric as the simplest class, and many people research the Randers metrics. In this paper, we study a new class of Finsler metrics in the form ,Whereis a Riemannian metric, is a 1-form. Bengling Li had introduced the projective flat of the-Metric F. We find another method which is about flag curvature to prove the projective flat conditions of this kind of-metric.

PROJECTIVELY FLAT FINSLER METRICS WITH ALMOST ISOTROPIC S-CURVATURE

2006 ◽  
Vol 26 (2) ◽  
pp. 307-313 ◽  
Author(s):  
Xinyue Cheng ◽  
Zhongmin Shen
Keyword(s):  
Finsler Metrics ◽  
Projectively Flat
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