On affinely connected manifolds admitting groups of affine motions with complex reducible linear isotropy groups

Hidekiyo WAKAKUWA

doi:10.2969/jmsj/01240373

Hidekiyo WAKAKUWA

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ジャーナルフリー

1960 年 12 巻 4 号 p. 373-384

DOI https://doi.org/10.2969/jmsj/01240373

詳細

Published: 1960 Received: 1959/03/06 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: 論文タイトル訂正内容: Wrong : on afnely connected manifolds admitting groups of affine motions with complex reducible linear isotropy groups
Right : On affinely connected manifolds admitting groups of affine motions with complex reducible linear isotropy groups

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) N. H. Kuiper and K. Yano, Two algebraic theorems with applications, Proc. Acad. Amsterdam, 59 (Indag. Math., 18), (1956), 319-328.
2) N. Iwahori, Some remarks on tensor invariants of O(n), U(n), Sp(n), J. Math. Soc., Japan, 10 (1958), 145-160.
3) T. Fukami, Invariant tensors under the real representation of unitary group and their applications, J. Math. Soc., Japan, 10 (1958), 135-144.
4) T. Fukami, Invariant tensors under the real representation of symplectic group and their applications, Tohoku Math. J., 10 (1958), 81-90.
5) H. C. Wang and K. Yano, A class of affinely connected spaces, Trans. Amer. Math. Soc., 80 (1955), 72-92.
6) Y. Muto, On some properties of a kind of affinely connected manifolds admitting a group of affine motions, I, Tensor (N.S.), 5 (1955), 127-142; II. Sci. Rep. Yokohama National Univ., Sec. I, 6 (1957), 1-13.
7) S. Ishihara and M. Obata, On a homogeneous space with invariant affine connection, Proc. Japan Acad., 31 (1955), 421-425.
8) S. Ishihara, Groups of isometries of pseudo-hermitian spaces, I, Proc. Japan Acad., 30 (1954), 940-945; II, 31 (1955), 418-420.
9) A. Lichnerowicz, Transformations affines et holonomie, C. R. Acad. Sci., Paris, 244 (1957), 1868-1870.
10) K. Nomizu, Invariant affine connections on homogeneous spaces, Amer. J. Math., 76 (1954), 33-65.
11) A. Newlander and L. Nirenberg, Complex analytic coordinates in almost complex manifolds, Ann. of Math., 65 (1957), 391-404.

Right : [1] N. H. Kuiper and K. Yano, Two algebraic theorems with applications, Proc. Acad. Amsterdam, 59 (Indag. Math., 18), (1956), 319-328.
[2] N. Iwahori, Some remarks on tensor invariants of O(n), U(n), Sp(n), J. Math. Soc., Japan, 10 (1958), 145-160.
[3] T. Fukami, Invariant tensors under the real representation of unitary group and their applications, J. Math. Soc., Japan, 10 (1958), 135-144.
[4] T. Fukami, Invariant tensors under the real representation of symplectic group and their applications, Tôhoku Math. J., 10 (1958), 81-90.
[5] H. C. Wang and K. Yano, A class of affinely connected spaces, Trans. Amer. Math. Soc., 80 (1955), 72-92.
[6] Y. Muto, On some properties of a kind of affinely connected manifolds admitting a group of affine motions, I, Tensor (N. S.), 5 (1955), 127-142; II. Sci. Rep. Yokohama National Univ., Sec. I, 6 (1957), 1-13.
[7] S. Ishihara and M. Obata, On a homogeneous space with invariant affine connection, Proc. Japan Acad., 31 (1955), 421-425.
[8] S. Ishihara, Groups of isometries of pseudo-hermitian spaces, I, Proc. Japan Acad., 30 (1954), 940-945; II, 31 (1955), 418-420.
[9] A. Lichnerowicz, Transformations affines et holonomie, C. R. Acad. Sci., Paris, 244 (1957), 1868-1870.
[10] K. Nomizu, Invariant affine connections on homogeneous spaces, Amer. J. Math., 76 (1954), 33-65.
[11] A. Newlander and L. Nirenberg, Complex analytic coordinates in almost complex manifolds, Ann. of Math., 65 (1957), 391-404.

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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