ON SYMMETRICAL EVOLUTION OF DOUGLOUS SPACE OF 2nd KIND WITH AN UNIQUE (α, β)- METRIC

Abstract

In the present paper, we prove that the Douglous space of 2nd kind with a unique type of (α, β)-metric can be transformed symmetrically on a Douglous space of next kind again. For, we have used the theories of Douglous space and conformal transformation. Consequently, some special cases are discussed to show that the 2nd kind Douglous space with different (α, β)-metrics including Randers metric and some other types, is also conformally invariant.