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New and Old Results of Computations of Automorphism Group of Domains in the Complex Space

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영남수학회 (Youngnam Mathematical Society)|2015.05|East Asian Mathematical Journal|제31권 제3호|pp. 363-370|DOI http://dx.doi.org/10.7858/eamj.2015.028

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참고문헌

키워드

holomorphic automorphism groupspseudoconvex domains
주제분류수학

초록

The automorphism group of domains is main stream of classification problem coming from E. Cartan's work. In this paper, I introduce classical technique of computations of automorphism group of domains and recent development of automorphism group. Moreover, I suggest new research problems in computations of automorphism group.

Abstract

The automorphism group of domains is main stream of classification problem coming from E. Cartan's work. In this paper, I introduce classical technique of computations of automorphism group of domains and recent development of automorphism group. Moreover, I suggest new research problems in computations of automorphism group.

참고문헌 (12)

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  2. J. Byun, "The explicit automorphism group of the KohnNirenberg domain", Math. Z, 263, pp.295~305 (2009)
  3. J. Byun, "Explicit description for the automorphism group of the Fornaess domain", JMAA, 369, pp.10~14 (2010)
  4. J. E. Fornaess, "Peak points on weakly pseudoconvex domains", Math. Ann, 227, pp.173~175 (1977)
  5. R. E. Greene, "The geometry of Complex domains, Studies in Advanced Mathematics" (1993), CRC Press
  6. J. Han, "Explicit Description for the Automorphism Group of the General Kohn-Nirenberg Domain", Int. Journal of Math. Analysis, 5, pp.569~574 (2011)
  7. K.-T. Kim, "Domains in Cn with a piecewise Levi at boundary which possess a noncom-pact automorphism group", Math. Ann, 292, pp.575~586 (1992)
  8. S. Kobayashi, "Hyperbolic manifolds and holomorphic mappings, vol. 2 of Pure and Applied Mathematics" (1970), Marcel Dekker Inc.
  9. J. J. Kohn, "A pseudo-convex domain not admitting a holomorphic support function", Math. Ann, 201, pp.265~268 (1973)
  10. J. -P. Rosay, "Rosay, Sur une caracterisation de la boule parmi les domaines de Cn par son groupe d'automorphismes", Ann. Inst. Fourier (Grenoble), 29, pp.91~97 (1979)
  11. Simone Calamai, "A bounded Kohn Nirenberg domain", 대한수학회보, 51(5), pp.1339~1345 (2014), 대한수학회
  12. B. Wong, "Characterization of the unit ball in Cn by its automorphism group", Invent. Math., 41, pp.253~257 (1977)

관련 논문AI추천

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