Geodesic
Extension of CR~Maps of Positive Codimension
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis and applications, Tome 253 (2006), pp. 267-276.

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We study the holomorphic extendability of smooth CR maps between real analytic strictly pseudoconvex hypersurfaces in complex affine spaces of different dimensions. 
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     title = {Extension of {CR~Maps} of {Positive} {Codimension}},
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S. Pinchuk; A. B. Sukhov. Extension of CR~Maps of Positive Codimension. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis and applications, Tome 253 (2006), pp. 267-276. http://geodesic.mathdoc.fr/item/TM_2006_253_a19/

[1] Bedford E., Bell S., “Extension of proper holomorphic mappings past the boundary”, Manuscr. math., 50 (1985), 1–10 | DOI | MR | Zbl

[2] Chirka E., Complex analytic sets, Kluwer, Dordrecht, 1989 | MR | MR | Zbl

[3] Forstneric F., “Extending proper holomorphic mappings of positive codimension”, Invent. math., 95 (1989), 31–61 | DOI | MR

[4] Diederich K., Pinchuk S., “Regularity of continuous CR maps in arbitrary dimension”, Michigan Math. J., 51 (2003), 111–140 | DOI | MR | Zbl

[5] Diederich K., Pinchuk S., “Analytic sets extending the graphs of holomorphic mappings”, J. Geom. Anal., 14 (2004), 231–239 | MR | Zbl