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- Title
On Cartan Spaces with (α, ß)-metric.
- Authors
Nagaraja, H. G.
- Abstract
É. Cartan [2] has originally introduced a Cartan space, which is considered as dual of Finsler space. H. Rund [10], F. Brickell [1] and others studied the relation between these two spaces. The theory of Hamilton spaces was introduced and studied by R. Miron ([8] , [9]). He proved that Cartan space is a particular case of Hamilton space. T. Igrashi ([5], [6]) introduced the notion of the (α, β)-metric in Cartan spaces and obtained the metric tensor and the invariants ρ and r which characterize the special classes of Cartan spaces with (α, β)-metric. This paper presents a study of Cartan spaces with (α,β)-metric admitting h-metrical d-connection. We prove the conditions for these spaces to be locally Minkowski and conformally flat.
- Subjects
DIFFERENTIAL geometry; FINSLER spaces; HAMILTON spaces; GENERALIZED spaces; CALCULUS of tensors
- Publication
Turkish Journal of Mathematics, 2007, Vol 31, Issue 4, p363
- ISSN
1300-0098
- Publication type
Article