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Upper semicontinuity of isotropy and automorphism groups

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References

  1. Barth, T.: Taut and tight complex manifolds. Proc. Am. Math. Soc.24, 429–431 (1970)

    Google Scholar 

  2. Chevalley, C.: Theory of Lie groups. I. Princeton: Princeton University Press 1946

    Google Scholar 

  3. Ebin, D.: The manifold of Riemannian metrics. In: Global analysis. (Proc. Symp. Pure Math., vol. XV, pp. 17–40) Providence, RI: Am. Math. Soc. 1970

    Google Scholar 

  4. Greene, R.E., Krantz, S.G.: The automorphism groups of strongly pseudoconvex domains. Math. Ann.261, 425–446 (1982)

    Google Scholar 

  5. Greene, R.E., Krantz, S.G.: Normal families and the semicontinuity of isometry and automorphism groups. Math. Z.190, 455–467 (1985)

    Google Scholar 

  6. Greene, R.E., Krantz, S.G.: Stability of the Carathéodory and Kobayashi metrics and applications to biholomorphic mappings. In: Yum Tong Siu (ed.) Complex analysis of several variables. (Proc. Symp. Pure Math., vol. 41, pp. 77–93) Providence, RI: Am. Math. Soc. 1984

    Google Scholar 

  7. Greene, R.E., Krantz, S.G.: Biholomorphic self-maps of domains. In: Berenstein, C. (ed.) Complex analysis. II. (Lect. Notes Math., vol. 1276, pp. 136–207) Berlin Heidelberg New York: Springer 1987

    Google Scholar 

  8. Grove, K., Karcher, H.: How to conjugateC 1-close group actions. Math. Z.132, 11–20 (1973)

    Google Scholar 

  9. Grove, K., Karcher, H., Ruh, E.A.: Group actions and curvature. Invent. Math.23, 31–48 (1974)

    Google Scholar 

  10. Kelly, J.L.: General topology. New York: Van Nostrand 1955

    Google Scholar 

  11. Kerzman, N., Rosay, J.-P.: Fonctions plurisousharmoniques d'exhaustion bornées et domaines taut. Math. Ann.257, 171–184 (1981)

    Google Scholar 

  12. Kiernan, P.J.: On the relations between taut, tight, and hyperbolic manifolds. Bull. Am. Math. Soc.76, 49–51 (1970)

    Google Scholar 

  13. Kim, Y.-W.: On the groups of isometries of Riemannian metrics on compact differentiable manifolds. Ph.D. dissertation, University of California at Los Angeles 1984

  14. Kobayashi, S.: Hyperbolic manifolds and holomorphic mappings. New York: Dekker 1970

    Google Scholar 

  15. Kobayashi, S., Nomizu, K.: Foundations of differential geometry. I. New York: Interscience 1963

    Google Scholar 

  16. Lloyd, N.G.: Degree theory. Cambridge: Cambridge University Press 1978

    Google Scholar 

  17. Ma, Daowei: Invariant metrics on domains. Ph. D. dissertation, Washington University in Saint Louis 1990

  18. Milnor, J.W.: Topology from the differentiable viewpoint. Charlottesville: The University Press of Virginia 1965

    Google Scholar 

  19. Montgomery, D., Zippin, L.: Topological transformation groups. New York: Interscience 1955

    Google Scholar 

  20. Newman, M.H.A.: A theorem on periodic transformations of spaces. Q.J.Math., Oxf.II. Ser., 1–9 (1931)

  21. Palais, R.: Equivalence of nearby differentiable actions of a group. Bull. Am. Math. Soc.67, 362–364 (1961)

    Google Scholar 

  22. Wu, H.: Normal families of holomorphic mappings. Acta Math.119, 193–233 (1967)

    Google Scholar 

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Ma, D. Upper semicontinuity of isotropy and automorphism groups. Math. Ann. 292, 533–545 (1992). https://doi.org/10.1007/BF01444634

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