On curvature properties of Kähler C-spaces
ジャーナル
フリー
1978 年 30 巻 1 号 p. 39-71
詳細
- Published: 1978 Received: 1976/05/17 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
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訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報 訂正内容: Wrong : 1) A. Borel, Kählerian coset spaces of semi-simple Lie groups, Proc. Nat. Acad. Sci. U.S.A., 40 (1954), 1147-1151.
2) A. Borel, On the curvature tensor of the Hermitian symmetric manifolds, Ann. of Math., 71 (1960), 508-521.
3) A. Borel and F. Hirzebruch, Characteristic classes and homogeneous spaces I, Amer. J. Math., 80 (1958), 458-538.
4) N. Bourbaki, Groupes et algèbres de Lie, IV, V et VI, Eléments de Mathématique, Hermann, Paris, 1968.
5) E. Calabi and E. Vesentini, On compact locally symmetric Kaehler manifolds, Ann. of Math., 71 (1960), 472-507.
6) S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York, 1962.
7) M. Ise, The theory of symmetric spaces II, Sugaku, 13 (1961), 88-107 (in Japanese).
8) S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, II, Interscience publishers, 1969.
9) Y. Matsushima, Sur les espaces homogènes kähleriens d'un groupe de Lie réductif, Nagoya Math. J., 11 (1957), 53-60.
10) H. Nakagawa and R. Takagi, On locally symmetric Kaehler submanifolds in a complex projective space, J. Math. Soc. Japan, 28 (1976), 638-667.
11) K. Nomizu, Invariant affine connections on homogeneous spaces, Amer. J. Math., 76 (1954), 33-65.
12) B. Smyth, Differential geometry of complex hypersurfaces, Ann. of Math., 85 (1967), 246-266.
13) H. C. Wang, Closed manifolds with homogeneous complex structure, Amer. J. Math., 76 (1954), 1-32.
Right : [1] A. Borel, Kählerian coset spaces of semi-simple Lie groups, Proc. Nat. Acad. Sci. U. S. A., 40 (1954), 1147-1151.
[2] A. Borel, On the curvature tensor of the Hermitian symmetric manifolds, Ann. of Math., 71 (1960), 508-521.
[3] A. Borel and F. Hirzebruch, Characteristic classes and homogeneous spaces I, Amer. J. Math., 80 (1958), 458-538.
[4] N. Bourbaki, Groupes et algèbres de Lie, IV, V et VI, Eléments de Mathématique, Hermann, Paris, 1968.
[5] E. Calabi and E. Vesentini, On compact locally symmetric Kaehler manifolds, Ann. of Math., 71 (1960), 472-507.
[6] S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York, 1962.
[7] M. Ise, The theory of symmetric spaces II, Sugaku, 13 (1961), 88-107 (in Japanese).
[8] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, II, Interscience publishers, 1969.
[9] Y. Matsushima, Sur les espaces homogènes kähleriens d'un groupe de Lie réductif, Nagoya Math. J., 11 (1957), 53-60.
[10] H. Nakagawa and R. Takagi, On locally symmetric Kaehler submanifolds in a complex projective space, J. Math. Soc. Japan, 28 (1976), 638-667.
[11] K. Nomizu, Invariant affine connections on homogeneous spaces, Amer. J. Math., 76 (1954), 33-65.
[12] B. Smyth, Differential geometry of complex hypersurfaces, Ann. of Math., 85 (1967), 246-266.
[13] H. C. Wang, Closed manifolds with homogeneous complex structure, Amer. J. Math., 76 (1954), 1-32.
訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル 訂正内容: -
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