Extremal discs and analytic continuation of product CR maps

Details Extremal discs and analytic continuation of product CR maps Extremal discs and analytic continuation of product CR maps

2005-08-23

arxiv.org/abs/math/0508424v1

Mathematics

Complex Variables

11 pages

Scientific paper

Let M be a real analytic strictly pseudoconvex manifold of higher codimension
in complex space, and let M' be the cartesian product of two or more compact
real analytic strictly convex hypersurfaces. We prove that a germ of a
biholomorphic map taking an open set in M to M' extends as a biholomorphic map
along any path in M.

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