The automorphism group of a geometric structure
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- by Hsin Chu and Shoshichi Kobayashi PDF
- Trans. Amer. Math. Soc. 113 (1964), 141-150 Request permission
References
- S. Bochner, Compact groups of differentiable transformations, Ann. of Math. (2) 46 (1945), 372–381. MR 13161, DOI 10.2307/1969157
- S. Bochner, Vector fields and Ricci curvature, Bull. Amer. Math. Soc. 52 (1946), 776–797. MR 18022, DOI 10.1090/S0002-9904-1946-08647-4
- S. Bochner, Tensor fields with finite bases, Ann. of Math. (2) 53 (1951), 400–411. MR 40792, DOI 10.2307/1969563
- Salomon Bochner and Deane Montgomery, Groups of differentiable and real or complex analytic transformations, Ann. of Math. (2) 46 (1945), 685–694. MR 14102, DOI 10.2307/1969204
- Salomon Bochner and Deane Montgomery, Locally compact groups of differentiable transformations, Ann. of Math. (2) 47 (1946), 639–653. MR 18187, DOI 10.2307/1969226
- Salomon Bochner and Deane Montgomery, Groups on analytic manifolds, Ann. of Math. (2) 48 (1947), 659–669. MR 22223, DOI 10.2307/1969133
- W. M. Boothby, Shoshichi Kobayashi, and H. C. Wang, A note on mappings and automorphisms of almost complex manifolds, Ann. of Math. (2) 77 (1963), 329–334. MR 146764, DOI 10.2307/1970219 H. Cartan, Sur les groups de transformations analytiques, Actualités Sci. Ind. No. 198, Hermann, Paris, 1935. C. Chevalley, Theory of Lie groups, Princeton Univ. Press, Princeton, N.J., 1946. D. van Dantzig and B. L. van der Waerden, Über metrisch homogene Räume, Abh. Math. Sem. Univ. Hamburg 6 (1928), 374-376.
- Avron Douglis and Louis Nirenberg, Interior estimates for elliptic systems of partial differential equations, Comm. Pure Appl. Math. 8 (1955), 503–538. MR 75417, DOI 10.1002/cpa.3160080406
- Charles Ehresmann, Les connexions infinitésimales dans un espace fibré différentiable, Colloque de topologie (espaces fibrés), Bruxelles, 1950, Georges Thone, Liège; Masson & Cie, Paris, 1951, pp. 29–55 (French). MR 0042768
- Jun-ichi Hano and Akihiko Morimoto, Note on the group of affine transformations of an affinely connected manifold, Nagoya Math. J. 8 (1955), 71–81. MR 69567 S. Kobayashi, Le groupe de transformations qui laissent invariant un parallélisme, Colloque de Topologie (Strasbourg, 1954).
- Shoshichi Kobayashi, Theory of connections, Ann. Mat. Pura Appl. (4) 43 (1957), 119–194. MR 96276, DOI 10.1007/BF02411907
- Shoshichi Kobayashi, Geometry of bounded domains, Trans. Amer. Math. Soc. 92 (1959), 267–290. MR 112162, DOI 10.1090/S0002-9947-1959-0112162-5
- Masatake Kuranishi, On conditions of differentiability of locally compact groups, Nagoya Math. J. 1 (1950), 71–81. MR 38355
- Deane Montgomery and Leo Zippin, Topological transformation groups, Interscience Publishers, New York-London, 1955. MR 0073104
- S. B. Myers and N. E. Steenrod, The group of isometries of a Riemannian manifold, Ann. of Math. (2) 40 (1939), no. 2, 400–416. MR 1503467, DOI 10.2307/1968928
- A. Newlander and L. Nirenberg, Complex analytic coordinates in almost complex manifolds, Ann. of Math. (2) 65 (1957), 391–404. MR 88770, DOI 10.2307/1970051
- Katsumi Nomizu, On the group of affine transformations of an affinely connected manifold, Proc. Amer. Math. Soc. 4 (1953), 816–823. MR 59049, DOI 10.1090/S0002-9939-1953-0059049-4 —, Lie groups and differential geometry, The Mathematical Society of Japan, 1956.
- Richard S. Palais, A global formulation of the Lie theory of transformation groups, Mem. Amer. Math. Soc. 22 (1957), iii+123. MR 121424
- Richard S. Palais, On the differentiability of isometries, Proc. Amer. Math. Soc. 8 (1957), 805–807. MR 88000, DOI 10.1090/S0002-9939-1957-0088000-X
- Kentaro Yano, Some integral formulas and their applications, Michigan Math. J. 5 (1958), 63–73. MR 110992
Additional Information
- © Copyright 1964 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 113 (1964), 141-150
- MSC: Primary 53.52; Secondary 22.40
- DOI: https://doi.org/10.1090/S0002-9947-1964-0164299-4
- MathSciNet review: 0164299