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Continuity of the Kobayashi metric in deformations and for algebraic manifolds of general type


Author: Marcus W. Wright
Journal: Bull. Amer. Math. Soc. 82 (1976), 956-958
MSC (1970): Primary 32H15, 32H20, 32G17, 32G05
DOI: https://doi.org/10.1090/S0002-9904-1976-14232-2
MathSciNet review: 0419845
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References [Enhancements On Off] (What's this?)

  • 1. R. Brody, Intrinsic metrics and measures on compact complex manifolds, Thesis, Harvard Univ., 1975.
  • 2. M. Kuranishi, Deformations of compact complex manifolds, Séminaire de Mathématiques Supérieures, No. 39 (Été 1969), Univ. of Montréal Press, Montréal, Quebec, 1971. MR 355111
  • 3. M. S. Narasimhan and R. R. Simha, Manifolds with ample canonical class, Invent. Math. 5 (1968), 120-128. MR 38 # 5253. MR 236960
  • 4. D. A. Pelles (formerly Eisenman), Holomorphic maps which preserve intrinsic measure, J. Math. 97 (1975), 1-15. MR 51 # 3542. MR 367300
  • 5. H. L. Royden, Remarks on the Kobayashi metric, Several Complex Variables. II (Proc. Internat. Conf., Univ. of Maryland 1970), Lecture Notes in Math., vol. 185, Springer-Verlag, Berlin and New York, 1971, pp. 125-137. MR 46 # 3826. MR 304694
  • 6. M. W. Wright, The Kobayashi pseudo-metric on algebraic manifolds of general type and in deformations of complex manifolds, Trans. Amer. Math. Soc. (to appear). MR 450624

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DOI: https://doi.org/10.1090/S0002-9904-1976-14232-2

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