Volume 6, Issue 2 (Vol. 6, No. 2 2020)                   mmr 2020, 6(2): 295-304 | Back to browse issues page

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Ghasemnezhad L, Rezaei B. On conformal transformation of special curvature of Kropina metrics. mmr 2020; 6 (2) :295-304
URL: http://mmr.khu.ac.ir/article-1-2811-en.html
On conformal transformation of special curvature of Kropina metrics
Laya Ghasemnezhad , Bahman Rezaei * 1
1- , b.rezaei@urmia.ac.ir
Abstract:   (2559 Views)
      An important class of Finsler metric is named Kropina metrics which is defined by Riemannian metric α and 1-form β  which have many applications in physic, magnetic field and dynamic systems. In this paper, conformal transformations of χ-curvature and H-curvature of Kropina metrics are studied and the conditions that preserve this quantities are investigated. Also it is shown that in the special cases the  conformal transformations reduced to homothetic transformations.  ./files/site1/files/62/14Abstract.pdf     
 
Keywords: Conformal transformation, Finsler metric, Kropina metrics, χ-curvature, H-curvature.
Full-Text [PDF 522 kb]   (484 Downloads)    
Type of Study: Original Manuscript | Subject: alg
Received: 2018/07/11 | Revised: 2020/10/13 | Accepted: 2019/01/14 | Published: 2020/01/28 | ePublished: 2020/01/28
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