Asymptotics of the behavior of a~strictly pseudoconvex surface along its chains
Izvestiya. Mathematics , Tome 23 (1984) no. 1, pp. 149-170
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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.
@article{IM2_1984_23_1_a3,
author = {V. V. Ezhov},
title = {Asymptotics of the behavior of a~strictly pseudoconvex surface along its chains},
journal = {Izvestiya. Mathematics },
pages = {149--170},
publisher = {mathdoc},
volume = {23},
number = {1},
year = {1984},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1984_23_1_a3/}
}
V. V. Ezhov. Asymptotics of the behavior of a~strictly pseudoconvex surface along its chains. Izvestiya. Mathematics , Tome 23 (1984) no. 1, pp. 149-170. http://geodesic.mathdoc.fr/item/IM2_1984_23_1_a3/