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THE CARATHE ́ODORY-CARTAN-KAUP-WU THEOREM ON KOBAYASHI HYPERBOLIC ALMOST COMPLEX MANIFOLDS

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The purpose of this article is to present The Carath ́eodory- Cartan-Kaup-Wu theorem for connected Kobayashi hyperbolic almost com- plex manifolds.

Abstract

The purpose of this article is to present The Carath ́eodory- Cartan-Kaup-Wu theorem for connected Kobayashi hyperbolic almost com- plex manifolds.

참고문헌 (6)

  1. Cima, J. A., "The Caratheodory-Cartan-Kaup-Wu theorem on an infinite-dimensional Hilbert space", Nagoya Math. J, 185, pp.17~30 (2007)
  2. Lee, K. -H., "Almost complex manifolds and Cartan's uniqueness theorem", Tran. Amer. Math. Soc, 358(5), pp.2057~2069 (2006)
  3. Kobayashi, S., "Hyperbolic complex spaces" (1998), Springer-Verlag
  4. Krantz, S. G., "Function theory of several complex variables", pp.xvi~564 (2001), AMS Chelsea Publishing
  5. Kruglikov, B. S., "Existence of close pseudoholomorphic disks for almost complex mani-folds and their application to the Kobayashi-Royden psuedonorm, (Rusian) Funktsional. Anal. i Prilozhen. 33(1999), no. 1, 46-58, 96: translation in Funct", Anal. Appl, 33(1), pp.38~48 (1999)
  6. Nijenhuis, A., "Some integration problems in almost complex and complex manifolds", Ann. Math, 77, pp.424~489 (1963)

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