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Intrinsic measures of compact complex manifolds. (English) Zbl 0313.32031


MSC:

32Q45 Hyperbolic and Kobayashi hyperbolic manifolds
14E05 Rational and birational maps
53C55 Global differential geometry of Hermitian and Kählerian manifolds

References:

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[6] Kobayashi, S.: Hyperbolic manifolds and holomorphic mappings. In: Pure and applied mathematics, Vol. 2. New York: Marcel Dekker 1970 · Zbl 0207.37902
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[8] Kobayashi, S.: Transformation groups in differential geometry. Ergebnisse series. Berlin-Heidelberg-New York: Springer 1971
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[10] Kobayashi, S., Nomizu, K.: Foundations of differential geometry, In: Interscience tracts 15, Vol. I (1963), Vol. II (1968). New York: Wiley · Zbl 0119.37502
[11] Kodaira, K.: Holomorphic mappings of polydiscs into compact complex manifolds. J. Diff. Geom.6, 33-46 (1971) · Zbl 0227.32008
[12] Lichnerowicz, A.: Variétés Kählériennes à première classe de Chern positive on nulle. C. R. Acad. Sci. Paris268, 876-880 (1969) · Zbl 0176.19202
[13] Royden, H. L.: Remarks on the Kobayashi metric. In: Several complex variables. II. Lecture Notes in Math., Vol.185, Berlin-Heidelberg-New York: Springer 1970 · Zbl 0189.36401
[14] Remmert, R.: Holomorphe und meromorphe Abbildungen komplexer Räume. Math. Ann.133, 328-370 (1957) · Zbl 0079.10201 · doi:10.1007/BF01342886
[15] Yau, S. T.: On the curvature of compact Hermitian manifolds (to appear) · Zbl 0299.53039
[16] Matsushima, Y.: Hodge manifolds with zero first Chern class. J. Diff. Geom.3, 477-489 (1969) · Zbl 0201.25902
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