East Asian mathematical journal

  • 제35권5호
  • /
  • Pages.529-534
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  • 2019
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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THE CARATHÉODORY-CARTAN-KAUP-WU THEOREM ON KOBAYASHI HYPERBOLIC ALMOST COMPLEX MANIFOLDS

  • 투고 : 2019.06.24
  • 심사 : 2019.08.27
  • 발행 : 2019.09.30
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초록

The purpose of this article is to present The $Carath{\acute{e}}odory$-Cartan-Kaup-Wu theorem for connected Kobayashi hyperbolic almost complex manifolds.

키워드

과제정보

연구 과제 주관 기관 : Pusan National University

참고문헌

  1. Cima, J. A., Graham, I. R., Kim, K.-T., Krantz, S. G., The Caratheodory-Cartan-Kaup-Wu theorem on an infinite-dimensional Hilbert space, Nagoya Math. J. 185 (2007), 17-30. https://doi.org/10.1017/S0027763000025721
  2. Lee, K.-H., Almost complex manifolds and Cartan's uniqueness theorem, Tran. Amer. Math. Soc.,358 (2006), no. 5, 2057-2069. https://doi.org/10.1090/S0002-9947-05-03973-5
  3. Kobayashi, S., Hyperbolic complex spaces, Grundlehren der Mathematischen Wissenschaften, 318., Springer-Verlag, Berlin, 1998.
  4. Krantz, S. G., Function theory of several complex variables, Reprint of the 1992 edition. AMS Chelsea Publishing, Providence, RI, 2001. xvi+564 pp.
  5. Kruglikov, B. S., Existence of close pseudoholomorphic disks for almost complex manifolds 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(1999), no. 1, 38-48. https://doi.org/10.4213/faa337
  6. Nijenhuis, A., Woolf, W., Some integration problems in almost complex and complex manifolds, Ann. Math., 77(1963), 424-489. https://doi.org/10.2307/1970126