Three-dimensional compact Kähler manifolds with positive holomorphic bisectional curvature

Shoshichi KOBAYASHI; Takushiro OCHIAI

doi:10.2969/jmsj/02430465

Shoshichi KOBAYASHI, Takushiro OCHIAI

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ジャーナルフリー

1972 年 24 巻 3 号 p. 465-480

DOI https://doi.org/10.2969/jmsj/02430465

詳細

Published: 1972 Received: 1971/09/27 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Right : [1] T. Aubin, Métriques riemanniennes et courbure, J. Differential Geometry, 4 (1970), 383-424.
[2] M. Berger, Sur les variétés d'Einstein compactes, C. R. III^e Réunion Math. Expression latine, Namur (1965), 35-55.
[3] R. L. Bishop and S. I. Goldberg, On the second cohomology group of a Kaehler manifold of positive curvature, Proc. Amer. Math. Soc., 16 (1965), 119-122.
[4] R. L. Bishop and S. I. Goldberg, On the topology of positively curved Kaehler manifolds II, Tôhoku Math. J., 17 (1965), 310-318.
[5] S. Bloch and D. Gieseker, The positivity of the Chern classes of an ample vector bundle, Invent. Math., 12 (1971), 112-117.
[6] A. Borel, Linear algebraic groups, Benjamin, New York, 1969.
[7] A. Borel, Groupes linéaires algébriques, Ann. Of Math., 64 (1965), 20-82.
[8] A. Borel and R. Remmert, Über kompakte homogene Kählersche Mannigfaltigkeiten, Math. Ann., 145 (1961/62), 429-439.
[9] E. Brieskorn, Ein Satz über die komplexen Quadriken, Math. Ann., 155 (1964), 184-193.
[10] T. T. Frankel, Fixed points and torsions on Kaehler manifolds, Ann. of Math., 70 (1959), 1-8.
[11] T. T. Frankel, Manifolds with positive curvature, Pacific J. Math., 11 (1961), 165-174.
[12] S. I. Goldberg and S. Kobayashi, On holomorphic bisectional curvature, J. Differential Geometry, 1 (1967), 225-233.
[13] R. Hartshorne, Ample vector bundles, Publ. Math. IHES, 29 (1966), 63-94.
[14] R. Hartshorne, Ample subvarieties of algebraic varieties, Lecture notes in Math. No. 156, Springer Verlag, 1970.
[15] F. Hirzebruch, Topological methods in algebraic geometry, Springer Verlag, 1966.
[16] F. Hirzebruch and K. Kodaira, On the complex projective spaces, J. Math. Pures Appl., 36 (1957), 201-216.
[17] A. Howard, A remark on Kählerian pinching, to appear.
[18] A. Howard and B. Smyth, On Kähler surfaces of non-negative curvature, J. Differential Geometry, 5 (1971), 491-502.
[19] S. Kobayashi, Fixed points of isometries, Nagoya Math. J., 13 (1958), 63-68.
[20] S. Kobayashi and T. Nagano, Riemannian manifolds with abundant isometries, Differential Geometry in honor of K. Yano, Kinokuniya, Tokyo, (1972), 195-219.
[21] S. Kobayashi and T. Ochiai, On complex manifolds with positive tangent bundle, J. Math. Soc. Japan, 22 (1970), 499-525.
[22] S. Kobayashi and T. Ochiai, Compact homogeneous complex manifolds with positive tangent bundle, Differential Geometry in honor of K. Yano, Kinokuniya, Tokyo, 1972, 221-232.
[23] S. Kobayashi and T. Ochiai, Characterizations of complex projective spaces and hyperquadrics, to appear.
[24] K. Kodaira, On Kähler varieties of restricted type, Ann. Of Math., 60 (1954), 28-48.
[25] Y. Matsushima, Sur la structure du groupe d'homéomorphismes analytiques d'une certaine variété kählérienne, Nagoya Math. J., 11 (1957), 145-150.
[26] T. Nagano, Homogeneous sphere bundles and the isotropic Riemannian manifolds, Nagoya Math. J., 15 (1959), 29-55.

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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