Some Ricci-Flat Finsler Metrics

2021 ◽  
Author(s):  
Semail Ulgen ◽  
Esra S. Sevim
Keyword(s):  
Finsler Metrics ◽  
Ricci Flat

On a class of projective Ricci flat Finsler metrics

2017 ◽  
Vol 90 (1-2) ◽  
pp. 169-180 ◽  
Author(s):  
Xinyue Cheng ◽  
Yuling Shen ◽  
Xiaoyu Ma
Keyword(s):  
Finsler Metrics ◽  
Ricci Flat

A class of Ricci-flat Finsler metrics

2018 ◽  
Vol 121 (1) ◽  
pp. 73-83
Author(s):  
Semail Ülgen ◽  
Esra S. Sevim
Keyword(s):  
Finsler Metrics ◽  
Ricci Flat

scholarly journals On a class of Ricci-flat Finsler metrics in Finsler geometry

2013 ◽  
Vol 70 ◽  
pp. 30-38 ◽  
Author(s):  
Bin Chen ◽  
Zhongmin Shen ◽  
Lili Zhao
Keyword(s):  
Finsler Geometry ◽  
Finsler Metrics ◽  
Ricci Flat

Projective Ricci flat spherically symmetric Finsler metrics

2018 ◽  
Vol 29 (11) ◽  
pp. 1850078 ◽  
Author(s):  
Hongmei Zhu ◽  
Haixia Zhang
Keyword(s):  
Ricci Curvature ◽  
Finsler Geometry ◽  
Finsler Metric ◽  
Finsler Metrics ◽  
Spherically Symmetric ◽  
Projective Invariant ◽  
Ricci Flat ◽  
Douglas Metric

In Finsler geometry, the projective Ricci curvature is an important projective invariant. In this paper, we characterize projective Ricci flat spherically symmetric Finsler metrics. Under a certain condition, we prove that a projective Ricci flat spherically symmetric Finsler metric must be a Douglas metric. Moreover, we construct a class of new nontrivial examples on projective Ricci flat Finsler metrics.

ON A CLASS OF RICCI-FLAT DOUGLAS METRICS

2012 ◽  
Vol 23 (06) ◽  
pp. 1250046 ◽  
Author(s):  
ESRA SENGELEN SEVIM ◽  
ZHONGMIN SHEN ◽  
LILI ZHAO
Keyword(s):  
Special Class ◽  
Riemannian Metric ◽  
Finsler Metrics ◽  
Ricci Flat

In this paper, we study a special class of Finsler metrics which are defined by a Riemannian metric and a 1-form on a manifold. We find equations that characterize Ricci-flat Douglas metrics among this class.

On the theory of $4$-th root Finsler metrics

2019 ◽  
Vol 12 (1) ◽  
pp. 83-92 ◽  
Author(s):  
Akbar Tayebi
Keyword(s):  
Finsler Metrics
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