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Techniques for computations of the automorphism group of domain

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In this paper, we introduce techniques for computations of the automorphism group of special doamins, for example the Kohn-Nirenberg domain, Fornaess domain and Cartan Hartogs domain.

Abstract

In this paper, we introduce techniques for computations of the automorphism group of special doamins, for example the Kohn-Nirenberg domain, Fornaess domain and Cartan Hartogs domain.

참고문헌 (13)

  1. H. Ahn, "Automorphisms of the Hartogs type do- mains over classical Symmetric domains", Internat. J. of Math[DOI]
  2. S. Bell, "A Simpli cation ann Extension of Fe erman's Theorem on Biholomorphic Mappings", Invent. Math, 57, pp.283~289 (1980)
  3. J. Byun, "Explicit description for the automorphism group of the Fornss domain", J. Math. Anal. Appl, 369, pp.10~14 (2010)
  4. J.E. Fornaess, "Peak Points on weakly pseudoconvex domains", Math. Ann, 227, pp.173~175 (1977)
  5. H. Gaussier, "Estimates of the Kobayashi metric on almost complex manifolds", Bull. Soc. Math. France, 133, pp.259~273 (2005)
  6. H. Gaussier, "On the geometry of model almost complex manifolds with boundary", Math. Z, 254, pp.567~589 (2006)
  7. J. Han, "Explicit Description for the Automorphism Group of the General Kohn-Nirenberg Domain", Int. J. Math. Anal, 5, pp.569~574 (2011)
  8. R.E. Greene, "The Geometry of Complex Domains", Progress in Mathematics(Birkhauser), 291 (2011)
  9. 김강태, "The automorphism groups of domain's", AMERICAN MATHEMATICAL MONTHLY, 112(7), pp.585~601, MATHEMATICAL ASSOC AMER
  10. J.J. Kohn, "A pseudo-convex domain not admitting a holomorphic support function", Math. Ann, 201, pp.265~268 (1973)
  11. "C. R. Math. Acad. Sci. Paris", 2004, 295~299
  12. 이강혁, "Almost complex manifolds and Cartan`s uniqueness theorem", TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 358(5), pp.2057~2069, AMER MATHEMATICAL SOC
  13. 이강혁, "Domains in almost complex manifolds with an automorphism orbit accumulating at a strongly pseudoconvex boundary point", MICHIGAN MATHEMATICAL JOURNAL, 54(1), pp.179~205, MICHIGAN MATHEMATICAL JOURNAL

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