This article is cited in 2 scientific papers (total in 2 papers)
On fibering into analytic curves of the common boundary of two domains of holomorphy
N. V. Shcherbina
An analogue of the Frobenius theorem is proved for the case of a continuous planar field. This leads to a proof that it is possible to fiber into analytic curves a $C^1$ smooth hypersurface in $\mathbf C^2$ on both sides of which lie domains of holomorphy. An example constructed of two domains of holomorphy with common boundary which does not contain analytic subsets.
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Mathematics of the USSR-Izvestiya, 1983, 21:2, 399–413
MSC: Primary 32D05; Secondary 32C25
N. V. Shcherbina, “On fibering into analytic curves of the common boundary of two domains of holomorphy”, Izv. Akad. Nauk SSSR Ser. Mat., 46:5 (1982), 1106–1123; Math. USSR-Izv., 21:2 (1983), 399–413
Citation in format AMSBIB
\paper On fibering into analytic curves of the common boundary of two domains of holomorphy
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\jour Math. USSR-Izv.
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R. A. Airapetyan, “Extension of CR-functions from piecewise smooth CR-manifolds”, Math. USSR-Sb., 62:1 (1989), 111–120
E. M. Chirka, “Introduction to the geometry of $CR$-manifolds”, Russian Math. Surveys, 46:1 (1991), 95–197
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