About the strongest statement one can make about a complex manifold from the standpoint of holomorphic mappings is that it is hyperbolic or complete hyperbolic. These concepts were introduced by Kobayashi, and their implications are discussed in his book.

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Hyperbolic Manifolds

  • Peter V. Dovbush,
  • Steven G. Krantz

摘要

About the strongest statement one can make about a complex manifold from the standpoint of holomorphic mappings is that it is hyperbolic or complete hyperbolic. These concepts were introduced by Kobayashi, and their implications are discussed in his book.