Volume 7, Issue 3 (Vol.7, No.3, 2021)
mmr 2021, 7(3): 573-584 |
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Saberali S S, Rezaei B. On Concircular Transformations in Finsler Spaces. mmr 2021; 7 (3) :573-584
URL: http://mmr.khu.ac.ir/article-1-3079-en.html
URL: http://mmr.khu.ac.ir/article-1-3079-en.html
1- Urmia University , s.saberali@urmia.ac.ir
2- Urmia University
2- Urmia University
Abstract: (1070 Views)
Randers metrics are the most important class of Finsler metrics which is defined by a Riemannian metric and a 1-form as . In this paper, the concept of geodesic circle preserve transformations in Finslerian space is studied and the weak Einstein Randers metrics have been investigated. Further we prove this condition for Randers metric of weak isotropic flag curvature and weak isotropic Berwald curvature.
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Keywords: Concircular transformation, Finsler metric, Isotropic flag curvature, mean Berwarld curvature
Type of Study: Original Manuscript |
Subject:
Differential Geometry
Received: 2020/04/22 | Revised: 2022/05/7 | Accepted: 2020/07/8 | Published: 2021/12/1 | ePublished: 2021/12/1
Received: 2020/04/22 | Revised: 2022/05/7 | Accepted: 2020/07/8 | Published: 2021/12/1 | ePublished: 2021/12/1
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