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On the automorphism group of aG-structure

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Commentarii Mathematici Helvetici

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Bibliography

  1. Bochner S. andMontgomery D.,Locally compact groups of differentiable transformations, Ann. of Math.,47 (1946), 639–653.

    Article  MathSciNet  Google Scholar 

  2. Boothby W. M., Kobayashi S. andWang H. C.,A note on mappings and automorphisms of almost complex manifolds, Ann. of Math.,77 (1963), 329–334).

    Article  MathSciNet  Google Scholar 

  3. Cartan H.,Sur les groupes de transformations analytiques, Actualités Sci. et ind.—198, Hermann, Paris, 1935.

    Google Scholar 

  4. Douglis A. andNirenberg L.,Interior estimates for elliptic systems of partial differential equations. Comm. Pure and Appl. Math.8 (1955), 503–538.

    MATH  MathSciNet  Google Scholar 

  5. Guillemin V. W. andSternberg S.,Transitive differential geometry, Bull. Amer. Math. Soc.,70 (1964), 16–47.

    Article  MATH  MathSciNet  Google Scholar 

  6. Hano J. andMorimoto A.,Note on the group of affine transformations of an affinely connected manifold. Nagoya Math. J.,8 (1955), 71–81.

    MATH  MathSciNet  Google Scholar 

  7. Kobayashi S. andNomizu K.,Foundations of differential geometry. Volume 1, Interscience Tracts, Number 15, John Wiley and Sons, New York, 1963.

    MATH  Google Scholar 

  8. Matsushima Y.,Sur les algèbres de Lie linéaires semi-involutives. Colloque de Topologie de Strasbourg, 1954.

  9. Myers S. B. andSteenrod N.,The group of isometries of a Riemannian manifolds. Ann. of Math.,40 (1939), 400–416.

    Article  MathSciNet  Google Scholar 

  10. Nomizu K.,On the group of affine transformations of an affinely connected manifold. Proc. Amer. Math. Soc.,5 (1953), 816–823.

    Article  MathSciNet  Google Scholar 

  11. Palais R. S.,A global formulation of the Lie theory of transformation groups, Mem. Amer. Math. Soc.,22, 1957.

  12. Sternberg S.,Lecture notes on G-structures, Harvard, 1962.

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Herrn Professor Dr.Heinz Hopf zum 70. Geburtstag in Dankbarkeit gewidmet

I wish to thank ProfessorK. Nomizu, my thesis advisor, and Dr.H. Ozeki for the encouragement and help I received while working on the present paper. This work was done while the author was partially supported by the National Science Foundation Grant 24026.

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Ruh, E.A. On the automorphism group of aG-structure. Commentarii Mathematici Helvetici 39, 189–204 (1964). https://doi.org/10.1007/BF02566950

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