Abstract
It is known that the CR geometries of Levi non-degen-erate hypersurfaces in <TEX>$\C^n$</TEX> and of the elliptic or hyperbolic CR submanifolds of codimension two in <TEX>$\C^4$</TEX> share many common features. In this paper, a special class of normalized coordinates is introduced for any CR manifold M which is one of the above three kinds and it is shown that the explicit expression in these coordinates of an isotropy automorphism <TEX>$f{\in}Aut(M)_o {\subset}Aut(M),\;o{\in}M$</TEX>, is equal to the expression of a corresponding element of the automorphism group of the homogeneous model. As an application of this property, an extension theorem for CR maps is obtained.
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