Geodesic
Pseudoforms with negative curvature on $\mathbf{CP}_n$
Izvestiya. Mathematics, Tome 29 (1987) no. 3, pp. 677-688 
V. A. Babets. Pseudoforms with negative curvature on $\mathbf{CP}_n$. Izvestiya. Mathematics, Tome 29 (1987) no. 3, pp. 677-688. http://geodesic.mathdoc.fr/item/IM2_1987_29_3_a8/
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     author = {V. A. Babets},
     title = {Pseudoforms with negative curvature on~$\mathbf{CP}_n$},
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     year = {1987},
     volume = {29},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1987_29_3_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The author constructs a pseudoform with negative holomorphic sectional curvature on $\mathbf{CP}_n$ less $2n+1$ hyperplanes in general position. Bibliography: 7 titles.

[1] Babets V. A., “Geometriya logarifmicheski kasatelnykh rassloenii i giperbolicheskie mnogoobraziya”, Funkts. analiz i ego prilozh., 16:2 (1982), 64–65 | MR | Zbl

[2] By X., Teoriya ravnoraspredeleniya dlya golomorfnykh krivykh, Mir, M., 1973 | MR

[3] Grauert H., Reckziegel H., “Hermitesche Metriken und normale Familien holomorphfer Abbildungen”, Math. Z., 89 (1965), 108–125 | DOI | MR | Zbl

[4] Carlson J., Griffiths P. A., “A defect relation for equidimensional holomorphic mappings between algebraic varieties”, Ann. of Math., 95 (1972), 557–584 | DOI | MR | Zbl

[5] Ahlfors L. V., “An extension of Schwarzs lemma”, Trans. Amer. Math. Soc., 43 (1938), 359–364 | DOI | MR | Zbl

[6] Kiernan P., Kobayashi S., “Holomorphic mappings into projective spase with lacunary hyperplanes”, Nagoya Math. J., 50 (1973), 199–215 | MR

[7] Green M. L., “The hyperbolicity of the complement of $2n+1$ hyperplanes in general position in $\mathbf P_n\mathbf C$ and related results”, Proc. Amer. Math. Soc., 66 (1977), 109–113 | DOI | MR | Zbl