This article is cited in 3 papers

Asymptotics of the behavior of a strictly pseudoconvex surface along its chains

V. V. Ezhov


Abstract: This paper contains estimates for the length of the interval of definition of a normal parameter on a chain for some special surfaces, and a study of the asymptotic behavior of a strictly pseudoconvex surface under displacement of the center of the expansion along a chain. In particular it is shown that the equation giving a surface in circular normal form in a neighborhood of a chain that makes a nonzero angle with the complex tangent plane cannot be continued to any neighborhood of the endpoints of the normal parameter on the chain.
Bibliography: 7 titles.

UDC: 517.5

MSC: 32C05, 32F25

 English version: Mathematics of the USSR-Izvestiya, 1984, 23:1, 149–170

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