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Normal Systems of Coordinates on Manifolds of Chern-Moser Type |
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Korean Mathematical Society |
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It is known that the CR geometries of Levi non-degenerate hyper-surfaces Cⁿ and of the elliptic or hyperbolic CR sub-manifolds of co-dimension two in C⁴ 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... 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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Journal of the Korean Mathematical Society, 40(3), p. 461-486 |
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