The nullity of compact Kähler submanifolds in a complex projective space

Yoshio KIMURA

doi:10.2969/jmsj/02930561

Yoshio KIMURA

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JOURNAL FREE ACCESS

1977 Volume 29 Issue 3 Pages 561-580

DOI https://doi.org/10.2969/jmsj/02930561

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Published: 1977 Received: July 05, 1976 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) R. Bott, Homogeneous vector bundles, Ann. of Math., 66 (1957), 203-248.
2) S. Kobayashi and K. Nomizu, Foundations of differential geometry, vol. 2, Interscience, New York, 1969.
3) B. Kostant, Lie algebra cohomology and the generalized Borel-weil theorem, Ann. of Math., 74 (1961), 329-387.
4) A. Lichnerowicz, Géométrie des groupes de transformations, Dunod, Paris, 1958.
5) A. Lichnerowicz, Isométries et transformations analytiques d'une variété kählérienne compacte, Bull. Soc. Math. France, 87 (1959), 427-437.
6) Y. Matsushima, Sur la structure du groupe d'homéomorphismes analytiques d'une certaine variété Kählérienne, Nagoya Math. J., 11 (1957), 145-150.
7) H. Nakagawa and R. Takagi, On locally symmetric Kaehler submanifolds in a complex projective space, J. Math. Soc. Japan, 28 (1976), 638-667.
8) J. Simons, Minimal varieties in Riemannian manifolds, Ann. of Math., 88 (1968), 62-105.
9) H. C. Wang, Closed manifolds with homogeneous complex structure, Amer. J. Math., 76 (1954), 1-32.

Right : [1] R. Bott, Homogeneous vector bundles, Ann. of Math., 66 (1957), 203-248.
[2] S. Kobayashi and K. Nomizu, Foundations of differential geometry, vol. 2, Interscience, New York, 1969.
[3] B. Kostant, Lie algebra cohomology and the generalized Borel-Weil theorem, Ann. of Math., 74 (1961), 329-387.
[4] A. Lichnerowicz, Géométrie des groupes de transformations, Dunod, Paris, 1958.
[5] A. Lichnerowicz, Isométries et transformations analytiques d'une variété kählérienne compacte, Bull. Soc. Math. France, 87 (1959), 427-437.
[6] Y. Matsushima, Sur la structure du groupe d'homéomorphismes analytiques d'une certaine variété Kählérienne, Nagoya Math. J., 11 (1957), 145-150.
[7] H. Nakagawa and R. Takagi, On locally symmetric Kaehler submanifolds in a complex projective space, J. Math. Soc. Japan, 28 (1976), 638-667.
[8] J. Simons, Minimal varieties in Riemannian manifolds, Ann. of Math., 88 (1968), 62-105.
[9] H. C. Wang, Closed manifolds with homogeneous complex structure, Amer. J. Math., 76 (1954), 1-32.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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