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On the uniqueness of the analyticity of a proper G-action

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References

  • [G] Grauert, H.:On Levi’s problem and the imbedding of real-analytic manifolds. Ann. of Math,68, 2, 460–472 (1958)

    Article  MathSciNet  Google Scholar 

  • [Gr] Grove, K.:Center of mass and G-local triviality ofG-bundles, Proc. AMS54, 352–354 (1976)

    Article  MATH  MathSciNet  Google Scholar 

  • [Gr, Ka] Grove, K., Karcher, H.:How to conjugate C 1-close group actions. Math. Z.132, 11–20 (19

  • [H, H, K] Heinzner P., Huckleberry A. T., Kutzschebauch F.:Abels’ Theorem in the real analytic case and applications to complexifications. To appear in Complex Analysis and Geometry, Lecture Notes in Pure and Applied Mathematics, Marcel Decker 1994

  • [Hi] Hirsch, M.:Differential topology. Berlin Heidelberg New York: Springer (1976)

    MATH  Google Scholar 

  • [I] Illman, S.:Every proper smooth action of a Lie group is equivalent to a real analytic action: A contribution to Hilberts fifth problem. Preprint MPI/93-3 Bonn (1993)

  • [Ka] Karcher, H.:Riemannian Center of Mass and Mollifier Smoothing. Comm. on Pure and Appl. Math.30 509–541 (1977)

    MATH  MathSciNet  Google Scholar 

  • [K, N] Kobayashi, S., Nomizu, K.:Foundations of Differential Geometry, Vol. II. Interscience Publishers, New York-London-Sydney, (1969)

    MATH  Google Scholar 

  • [Ku] Kutzschebauch, F.:Eigentliche Wirkungen von Liegruppen auf reell-analytischen Mannigfaltigkeiten, Schriftenreihe des Graduiertenkollegs Geometrie und Mathematische Physik, Ruhr-Universität-Bochum,5, 1–53 (1994)

    Google Scholar 

  • [M, S] Matumoto, T., Shiota, M.:Unique triangulation of the orbit space of a differentiable transformation group and its applications, Adv. Stud. Pure Math.9, 41–55 (1986)

    MathSciNet  Google Scholar 

  • [M, Z] Montgomery, D., Zippin, L.:Topological Transformation Groups, Interscience Publishers, New York and London, (1955)

    MATH  Google Scholar 

  • [Pa 1] Palais, R.S.:On the existence of slices for actions of non-compact Lie groups. Ann. of Math.73, 2, 295–323 (1961)

    Article  MathSciNet  Google Scholar 

  • [Pa 2] Palais, R.S.:Equivalence of nearby differentiable actions of a compact group. Bull. Amer. math. Soc.67, 362–364 (1961)

    Article  MATH  MathSciNet  Google Scholar 

  • [W] Whitney, H.:Differentiable manifolds, Ann. of Math.37, 645–680 (1936)

    Article  MathSciNet  Google Scholar 

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  1. Mathematisches Institut der Universität, Rheinsprung 21, CH-4051, Basel, Switzerland

    Frank Kutzschebauch

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  1. Frank Kutzschebauch
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Partially supported by Schweizerischer Nationalfond

This article was processed by the author using the Springer-Verlag TEX mamath macro package 1990.

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Kutzschebauch, F. On the uniqueness of the analyticity of a proper G-action. Manuscripta Math 90, 17–22 (1996). https://doi.org/10.1007/BF02568290

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