Bibliography
Bochner S. andMontgomery D.,Locally compact groups of differentiable transformations, Ann. of Math.,47 (1946), 639–653.
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).
Cartan H.,Sur les groupes de transformations analytiques, Actualités Sci. et ind.—198, Hermann, Paris, 1935.
Douglis A. andNirenberg L.,Interior estimates for elliptic systems of partial differential equations. Comm. Pure and Appl. Math.8 (1955), 503–538.
Guillemin V. W. andSternberg S.,Transitive differential geometry, Bull. Amer. Math. Soc.,70 (1964), 16–47.
Hano J. andMorimoto A.,Note on the group of affine transformations of an affinely connected manifold. Nagoya Math. J.,8 (1955), 71–81.
Kobayashi S. andNomizu K.,Foundations of differential geometry. Volume 1, Interscience Tracts, Number 15, John Wiley and Sons, New York, 1963.
Matsushima Y.,Sur les algèbres de Lie linéaires semi-involutives. Colloque de Topologie de Strasbourg, 1954.
Myers S. B. andSteenrod N.,The group of isometries of a Riemannian manifolds. Ann. of Math.,40 (1939), 400–416.
Nomizu K.,On the group of affine transformations of an affinely connected manifold. Proc. Amer. Math. Soc.,5 (1953), 816–823.
Palais R. S.,A global formulation of the Lie theory of transformation groups, Mem. Amer. Math. Soc.,22, 1957.
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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DOI: https://doi.org/10.1007/BF02566950