Groups of projective transformations and groups of conformal transformations

Shigeru ISHIHARA

doi:10.2969/jmsj/00920195

Shigeru ISHIHARA

著者情報

ジャーナルフリー

1957 年 9 巻 2 号 p. 195-227

DOI https://doi.org/10.2969/jmsj/00920195

詳細

Published: 1957 Received: 1957/02/02 Available on J-STAGE: 2006/08/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/08/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Right : [1] S. Bochner, Vector fields and Ricci curvature, Bull. Amer. Math. Soc., 52 (1946), 776-797.
[2] É. Cartan, Groupes de transformations continus, infinis, simples, Ann. Éc. Norm., 26 (1909), 93-161.
[3] J. Hano, On affine transformations of a Riemannian manifold, Nagoya. Math. Jour., 9 (1955), 99-109.
[4] S. Ishihara, Groups of projective transformations on a projectively connected manifold, Japan. Jour. Math., 25 (1955), 37-80.
[5] S. Ishihara and M. Obata, On the group of conformal transformations of a Riemannian manifold, Proc. Japan. Acad., 31 (1955), 426-429.
[6] S. Ishihara and M. Obata, Affine transformations in a Riemannian manifold, Tohoku Math. Jour., 7 (1955), 146-150.
[7] M. S. Knebelman, Collineations of projectively related affine connections, Ann, Math., 29 (1928), 389-394.
[8] S. Kobayashi, A theorem on the affine transformation group of a Riemannian manifold, Nagoya Math. Jour., 9 (1955), 39-41.
[9] M. Kurita, Geodesic correspondences of Riemannian spaces, Jour. Math. Soc. Japan, 8 (1956), 22-39.
[10] A. Lichnerowicz, Sur les transformations affines des variétés riemanniennes, C. R. Acad. Sci. Paris, 242 (1956), 1568-1570.
[11] K. Nomizu, Studies on Riemannian homogeneous spaces, Nagoya Math. Jour., 9 (1955), 43-56.
[12] M. Obata, On affine transformations in an almost complex manifold with a natural affine connection, Jour. Math. Soc. Japan, 8 (1956), 345-362.
[13] S. Sasaki and M. Goto, Some theorems on holonomy groups of Riemannian manifolds, Trans. Amer, Math. Soc., 80 (1955), 148-158.
[14] J. A. Schouten, Ricci-Calculus, 2nd. ed., Berlin (1954).
[15] H. Weyl, Theorie der Darstellung kontinuierlicher half-einfacher Gruppen durch lineare Transformationen, I, II, III, Math. Z., 23 (1925), 24 (1926).
[16] H. Weyl, Zur Infinitesimalgeometrie, Einordnung der projektiven und der konformen Auffassung, Gött. Nachr., (1921), 99-112.
[17] K. Yano, Groups of transformations in generalized spaces, Tokyo (1939).
[18] K. Yano, On groups of homothetic transformations in Riemannian spaces, Jour. Ind. Math. Soc., 15 (1951), 105-117.
[19] K. Yano, On harmonic and Killing vector fields, Ann. Math., 55 (1952) 38-45.
[20] K. Yano and S. Bochner, Curvature and Betti numbers, Princeton (1953).

訂正日: 2006/08/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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