•  
  •  
 

Turkish Journal of Mathematics

H. G. NAGARAJA

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.

DOI

-

Keywords

Cartan space, (\alpha, \beta)-metric, h-metrical d-connection, Conformally flat

First Page

363

Last Page

369

Download

Included in

Mathematics Commons

Share

COinS