Volume 3, Issue 3 (Vol. 3,No. 3 2017)
mmr 2017, 3(3): 119-128 |
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Sadeghzadeh N, Tayebi A. On Stretch curvature of Finsler manifolds. mmr 2017; 3 (3) :119-128
URL: http://mmr.khu.ac.ir/article-1-2600-en.html
URL: http://mmr.khu.ac.ir/article-1-2600-en.html
1- , nasrin_sadeghzadeh@yahoo.com
Abstract: (3657 Views)
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 (α,β)-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../files/site1/files/0Abstract4.pdf
Keywords: Stretch curvature, relativity stretch curvature, flag curvature, (α, β)-metric, Randers metric.
Type of Study: Original Manuscript |
Subject:
alg
Received: 2017/02/28 | Revised: 2018/05/12 | Accepted: 2017/09/18 | Published: 2017/09/25 | ePublished: 2017/09/25
Received: 2017/02/28 | Revised: 2018/05/12 | Accepted: 2017/09/18 | Published: 2017/09/25 | ePublished: 2017/09/25
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