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Paper Information

Journal:   MATHEMATICAL RESEARCHES   FALL 2016-WINTER 2017 , Volume 3 , Number 2 ; Page(s) 119 To 128.
 
Paper: 

ON STRETCH CURVATURE OF FINSLER MANIFOLDS

 
 
Author(s):  SADEGHZADEH NASRIN*, TAYEBI AKBAR
 
* 
 
Abstract: 

In this paper, Finsler metrics with relatively non-negative (resp. non-positive), isotropic and constant stretch curvature are studied.  In particular, it is showed that every compact Finsler manifold with relatively non-positive (resp. non-negative) stretch curvature is a Landsberg metric. Also, it is proved that every (a, b)-metric of non-zero constant flag curvature and non-zero relatively isotropic stretch curvature on a manifold of dimension n>2 has a constant characteristic scalar along the geodesics. Two dimensional Finsler manifolds of relatively stretch curvature are studied, too.

 
Keyword(s): STRETCH CURVATURE, RELATIVITY STRETCH CURVATURE, FLAG CURVATURE, (α, β)-METRIC, RANDERS METRIC
 
 
References: 
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Click to Cite.
APA: Copy

SADEGHZADEH, N., & TAYEBI, A. (2017). ON STRETCH CURVATURE OF FINSLER MANIFOLDS. MATHEMATICAL RESEARCHES, 3(2 ), 119-128. https://www.sid.ir/en/journal/ViewPaper.aspx?id=569471



Vancouver: Copy

SADEGHZADEH NASRIN, TAYEBI AKBAR. ON STRETCH CURVATURE OF FINSLER MANIFOLDS. MATHEMATICAL RESEARCHES. 2017 [cited 2021May12];3(2 ):119-128. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=569471



IEEE: Copy

SADEGHZADEH, N., TAYEBI, A., 2017. ON STRETCH CURVATURE OF FINSLER MANIFOLDS. MATHEMATICAL RESEARCHES, [online] 3(2 ), pp.119-128. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=569471.



 
 
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