Generalized \(\beta\)-conformal change and special Finsler spaces
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.
scientific article; zbMATH DE number 6075892
scientific article