Abstract:
On a strictly pseudoconvex hypersurface in a complex manifold, there exists
a biholomorphically invariant family of curves called the chains. On each chain one can pick out a certain family of parametrizations called the normal parametrizations. In this paper it is shown that, if the angle between a chain and the complex tangent space to the hypersurface is not separated from zero, then the interval of variation of any normal parameter on the chain is unbounded.
Bibliography: 6 titles.
Citation:
N. G. Kruzhilin, “An estimate of the variation of a normal parameter of a chain on a pseudoconvex surface”, Math. USSR-Izv., 23:2 (1984), 367–389