Generalized \(\beta\)-conformal change and special Finsler spaces
type: Item
instance of: scholarly article
zbMATH Open document ID: 1263.53020
DOI: 10.1142/S0219887812500168
published in: International Journal of Geometric Methods in Modern Physics
publication date: 2012-09-03T00:00:00Z
full work available at URL: https://arxiv.org/abs/1004.5478
Mathematics Subject Classification ID: 53B40
Mathematics Subject Classification ID: 53B05
zbMATH DE Number: 6075892
zbMATH Keywords: generalized \(\beta\)-conformal change
zbMATH Keywords: \(\beta\)-conformal change
zbMATH Keywords: Randers change
zbMATH Keywords: Kropina change
zbMATH Keywords: projective change
zbMATH Keywords: special Finsler spaces
zbMATH Keywords: b-condition
zbMATH Keywords: T-tensor
author: Nabil L. Youssef
author: S. H. Abed
author: S. G. Elgendi
describes a project that uses: Finsler
MaRDI profile type: Publication
arXiv ID: 1004.5478
cites work: On conformal transformations of Finsler metrics
cites work: On Finsler spaces with Randers' metric and special forms of important tensors
cites work: Q3725106
cites work: On semi-C-reducibility, T-tensor=0 and S4-likeness of Finsler spaces
cites work: On an Asymmetrical Metric in the Four-Space of General Relativity
cites work: On Finsler spaces with Kropina metric
cites work: On invariant tensors of \(\beta\)-changes of Finsler metrics
cites work: On Ricci tensors of Randers metrics
cites work: On Randers spaces of scalar curvature
cites work: GENERALIZED β-CONFORMAL CHANGE OF FINSLER METRICS
cites work: A global approach to the theory of special Finsler manifolds
cites work: CONCURRENT π-VECTOR FIELDS AND ENERGY β-CHANGE
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title: Generalized \(\beta\)-conformal change and special Finsler spaces
review text: This work is related to some special change of a Finsler metric, called a generalized \(\beta\)-conformal change. The authors study some special Finsler spaces related to this particular conformal change, namely quasi-\(C\)-reductible, semi-\(C\)-reductible, \(C\)-reductible, \({C}_2\)-like, \({S}_3\)-like, and \({S}_4\)-like Finsler spaces. They characterize the energy \(\beta\)-change, the Randers change and the Kropina change and show how the \(T\)-tensor is transformed under these changes. They give conditions under which a generalized \(\beta\)-conformal change is projective.
reviewed by: Oana Constantinescu
description: scientific article; zbMATH DE number 6075892