International Journal of Pure and Applied Mathematics Volume 76 No. 1 2012, 107-112 ISSN: 1311-8080 (printed version) url: http://www.ijpam.eu P A ijpam.eu THREE-DIMENSIONAL CONFORMALLY FLAT FINSLER SPACES T.N. Pandey 1 , V.K. Chaubey 2 § , D.D. Tripathi 3 1,2,3 Department of Mathematics and Statistics D.D.U. Gorakhpur University Gorakhpur (U.P.), 273009, INDIA Abstract: The purpose of the present paper is to obtained the scalar curvature of a three-dimensional conformally flat Finsler space. AMS Subject Classification: 53B40, 53C60 Key Words: three-dimensional Finsler spaces, conformal change, scalar cur- vature 1. Introduction As for as we know [1, 2, 3, 4] h-scalar curvature of Finsler spaces have hardly been determined in concrete form. R. Yoshikama and K. Okubo in his paper [5] give the concrete form of the scalar curvature of two-dimensional conformally flat Finsler space and some examples of Finsler spaces which have a positive definite scalar or a negative definite scalar curvature, he has also proved in the same paper that in two-dimensional conformally flat Finsler spaces are Landsberg spaces they are Berwald spaces. The purpose of the present paper is to study three-dimensional conformally flat Finsler spaces as for concrete form of scalar curvature is concern we could not work out in three-dimensional as it has been done in two-dimensional even then we have found out two components out of three of scalar curvature in three-dimensional Finsler spaces. Received: December 10, 2011 c  2012 Academic Publications, Ltd. url: www.acadpubl.eu § Correspondence author