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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. Masatake Kuranishi, Deformations of compact complex manifolds, Les Presses de l’Université de Montréal, Montreal, Que., 1971. Séminaire de Mathématiques Supérieures, No. 39 (Été 1969). MR 0355111
  • 3. M. S. Narasimhan and R. R. Simha, Manifolds with ample canonical class, Invent. Math. 5 (1968), 120–128. MR 0236960, https://doi.org/10.1007/BF01425543
  • 4. Donald Alfred Pelles, Holomorphic maps which preserve intrinsic measure, Amer. J. Math. 97 (1975), 1–15. MR 0367300, https://doi.org/10.2307/2373658
  • 5. H. L. Royden, Remarks on the Kobayashi metric, Several complex variables, II (Proc. Internat. Conf., Univ. Maryland, College Park, Md., 1970) Springer, Berlin, 1971, pp. 125–137. Lecture Notes in Math., Vol. 185. MR 0304694
  • 6. Marcus W. Wright, The behavior of the infinitesimal Kobayashi pseudometric in deformations and on algebraic manifolds of general type, Several complex variables (Proc. Sympos. Pure Math., Vol. XXX, Part 2, Williams Coll., Williamstown, Mass., 1975) Amer. Math. Soc., Providence, R.I., 1977, pp. 129–134. MR 0450624

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