Turkish Journal of Mathematics
Article Title
DOI
-
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 (\alpha, \beta)-metric in Cartan spaces and obtained the metric tensor and the invariants \rho and r which characterize the special classes of Cartan spaces with (\alpha, \beta)-metric. This paper presents a study of Cartan spaces with (\alpha, \beta)-metric admitting h-metrical d-connection. We prove the conditions for these spaces to be locally Minkowski and conformally flat.
First Page
363
Last Page
369
Recommended Citation
NAGARAJA, H. G. (2007) "On Cartan Spaces with (\alpha, \beta)-metric," Turkish Journal of Mathematics: Vol. 31: No. 4, Article 3. Available at: https://journals.tubitak.gov.tr/math/vol31/iss4/3
