On Mappings Of $p-$ Dimensional Surfaces in Euclidean Spaces $E_{n}$

Abstract

In the paper, we study one-to-one mappings of $p$ dimensional surfaces of $n$ dimensional euclidean spaces in $2n$ dimensional euclidean space. In the paper, we use the method of moving frames and exterior forms. The results about conjugacy and orthogonality of nets and conformity of mappings are obtained.