Geodesic
Extension of locally biholomorphic mappings of domains into complex projective space
Izvestiya. Mathematics , Tome 22 (1984) no. 1, pp. 181-189

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In this paper it is proved that every locally biholomorphic mapping of a domain $D\subset\mathbf C^n$ into $\mathbf C\mathrm P^n$ can be extended to a biholomorphic mapping of the envelope of holomorphy $\widetilde D$ into $\mathbf C\mathrm P^n$. Corollaries are presented for extending mappings of hypersurfaces with indefinite Levi form. Bibliography: 12 titles 
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     author = {S. M. Ivashkovich},
     title = {Extension of locally biholomorphic mappings of domains into complex projective space},
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S. M. Ivashkovich. Extension of locally biholomorphic mappings of domains into complex projective space. Izvestiya. Mathematics , Tome 22 (1984) no. 1, pp. 181-189. http://geodesic.mathdoc.fr/item/IM2_1984_22_1_a6/