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On the classification theorem for CR mappings

Published online by Cambridge University Press:  22 January 2016

Atsushi Hayashimoto
Atsushi Hayashimoto*
Affiliation:
Graduate School of Polymathematics, Nagoya University, Chikusa-ku, Nagoya, 464-01, Japan, [email protected]
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Abstract.

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Let f: M → M′ be a real analytic CR mapping between hyper-surfaces with f(p) = q, where p ∈ M and q ∈ M′. In this paper, the relation between the type at p and the one at q is considered. As a corollary of the type condition theorem (Theorem 1.1), a classification theorem, which states that under certain type condition, any real analytic CR mapping as above is constant, is proved.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 150 , June 1998 , pp. 95 - 104
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1998

References

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