On projective transformations of Riemannian manifolds
ジャーナル
フリー
1959 年 11 巻 3 号 p. 196-204
詳細
- Published: 1959 Received: 1958/09/22 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: Wrong : 1) G. de Rham, Sur la réductibilité d'un espace de Riemann, Comment. Math. Helv., 26 (1952), 328-344.
2) S. Ishihara, Groups of projective transformations and groups of conformal transformations, J. Math. Soc. Japan, 9 (1957), 195-227.
3) A. Lichnerowicz, Sur les espaces riemanniens complètement harmoniques, Bull. Soc. Math. France, 72 (1944), 146-168.
4) T. Nagano, The projective transformation of a space with parallel Ricci tensor (to appear).
5) A. Nijenhuis, On the holonomy groups of linear connection, IA, IB, Proc. Kon. Ned. Ak. Wet. Amsterdam, A 56, (1953), 233-249.
6) J. A. Schouten, Ricci Calculus, 2nd ed., 1954, Springer, Berlin.
7) N. Tanaka, Projective connections and projective transformations, Nagoya Math. J., 12 (1957), 1-24.
8) T. Y. Thomas, The decomposition of Riemannian spaces in the large, Monatsh. Math. Phys., 47 (1939), 388-418.
9) K. Yano and T. Nagano, Some theorems on projective and conformal transformations, Proc. Kon. Ned. Ak. Wet. Amsterdam, A 60 (1957), 451-458.
Right : [1] G. de Rham, Sur la réductibilité d'un espace de Riemann, Comment. Math. Helv., 26 (1952), 328-344.
[2] S. Ishihara, Groups of projective transformations and groups of conformal transformations, J. Math. Soc. Japan, 9 (1957), 195-227.
[3] A. Lichnerowicz, Sur les espaces riemanniens complètement harmoniques, Bull. Soc. Math. France, 72 (1944), 146-168.
[4] T. Nagano, The projective transformation of a space with parallel Ricci tensor (to appear).
[5] A. Nijenhuis, On the holonomy groups of linear connection, IA, IB, Proc. Kon. Ned. Ak. Wet. Amsterdam, A 56, (1953), 233-249.
[6] J. A. Schouten, Ricci Calculus, 2nd ed., 1954, Springer, Berlin.
[7] N. Tanaka, Projective connections and projective transformations, Nagoya Math. J., 12 (1957), 1-24.
[8] T. Y. Thomas, The decomposition of Riemannian spaces in the large, Monatsh. Math. Phys., 47 (1939), 388-418.
[9] K. Yano and T. Nagano, Some theorems on projective and conformal transformations, Proc. Kon. Ned. Ak. Wet. Amsterdam, A 60 (1957), 451-458.
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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