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This article is cited in 27 scientific papers (total in 27 papers)
The smoothness of $\operatorname{CR}$-mappings between strictly pseudoconvex hypersurfaces
S. I. Pinchuk, Sh. I. Tsyganov
Abstract:
In this article it is proved that if $\Gamma_1$, and $\Gamma_2$ are strictly pseudoconvex hypersurfaces in $\mathbf C^n$ of class $C^m$ for ($m>2$) and if $F\colon\Gamma_1\to\Gamma_2$ is a continuous nonconstant $\operatorname{CR}$-mapping, then $F$ is a local diffeomorphism of class $C^{m-1-0}$.
Bibliography: 16 titles.
Received: 19.12.1988
Citation:
S. I. Pinchuk, Sh. I. Tsyganov, “The smoothness of $\operatorname{CR}$-mappings between strictly pseudoconvex hypersurfaces”, Math. USSR-Izv., 35:2 (1990), 457–467
Linking options:
https://www.mathnet.ru/eng/im1290https://doi.org/10.1070/IM1990v035n02ABEH000714 https://www.mathnet.ru/eng/im/v53/i5/p1120
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Abstract page: | 362 | Russian version PDF: | 104 | English version PDF: | 14 | References: | 62 | First page: | 1 |
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