|
This article is cited in 4 scientific papers (total in 4 papers)
The Levi form for $C^1$-smooth hypersurfaces, and the complex structure on the boundary of domains of holomorphy
N. V. Shcherbina
Abstract:
A description is given of the set of those boundary points of a domain of holomorphy $D\subset\mathbf C^2$ which have a neighborhood in which the boundary fibers into analytic curves. For domains with $C^1$-smooth boundary whose closure has a basis of Stein neighborhoods this set coincides with the complement of the Shilov boundary $S_{A(\overline D)}$.
Bibliography: 5 titles.
Received: 10.03.1981
Citation:
N. V. Shcherbina, “The Levi form for $C^1$-smooth hypersurfaces, and the complex structure on the boundary of domains of holomorphy”, Izv. Akad. Nauk SSSR Ser. Mat., 45:4 (1981), 874–895; Math. USSR-Izv., 19:1 (1982), 171–188
Linking options:
https://www.mathnet.ru/eng/im1589https://doi.org/10.1070/IM1982v019n01ABEH001406 https://www.mathnet.ru/eng/im/v45/i4/p874
|
Statistics & downloads: |
Abstract page: | 347 | Russian version PDF: | 129 | English version PDF: | 26 | References: | 62 | First page: | 1 |
|