On some compact Einstein almost Kähler manifolds

Kouei SEKIGAWA

doi:10.2969/jmsj/03940677

Kouei SEKIGAWA

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JOURNAL FREE ACCESS

1987 Volume 39 Issue 4 Pages 677-684

DOI https://doi.org/10.2969/jmsj/03940677

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Published: 1987 Received: May 17, 1986 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) E. Abbena, An example of an almost Kähler manifold which is not Kählerian, Boll. Un. Mat. Ital. (6) 3A (1984), 383-392.
2) L. A. Cordero, M. Fernandez and A. Gray, Symplectic manifolds with no Kaehler structure, preprint.
3) L. A. Cordero, M. Fernandez and M. de Leon, Examples of compact non-Kähler almost Kähler manifolds, Proc. Amer. Math. Soc., 95 (1985), 280-286.
4) S. I. Goldberg, Integrability of almost Kähler manifolds, Proc. Amer. Math. Soc., 21 (1969), 96-100.
5) S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, II, New York, Interscience, 1969.
6) K. Sekigawa, On some 4-dimensional compact Einstein almost Kähler manifolds, Math. Ann., 271 (1985), 333-337.
7) W. P. Thurston, Some simple examples of symplectic manifolds, Proc. Amer. Math. Soc., 55 (1976), 467-468.
8) F. Tricerri and L. Vanhecke, Curvature tensors on almost Hermitian manifolds, Trans. Amer. Math. Soc., 267 (1981), 365-398.
9) B. Watson, New examples of strictly almost Kähler manifolds, Proc. Amer. Math. Soc., 88 (1983), 541-544.
10) K. Yano, Differential geometry on complex and almost complex spaces, New York, Pergamon, 1965.

Right : [1] E. Abbena, An example of an almost Kähler manifold which is not Kählerian, Boll. Un. Mat. Ital. (6) 3A (1984), 383-392.
[2] L. A. Cordero, M. Fernandez and A. Gray, Symplectic manifolds with no Kaehler structure, preprint.
[3] L. A. Cordero, M. Fernandez and M. de Leon, Examples of compact non-Kähler almost Kähler manifolds, Proc. Amer. Math. Soc., 95 (1985), 280-286.
[4] S. I. Goldberg, Integrability of almost Kähler manifolds, Proc. Amer. Math. Soc., 21 (1969), 96-100.
[5] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, II, New York, Interscience, 1969.
[6] K. Sekigawa, On some 4-dimensional compact Einstein almost Kähler manifolds, Math. Ann., 271 (1985), 333-337.
[7] W. P. Thurston, Some simple examples of symplectic manifolds, Proc. Amer. Math. Soc., 55 (1976), 467-468.
[8] F. Tricerri and L. Vanhecke, Curvature tensors on almost Hermitian manifolds, Trans. Amer. Math. Soc., 267 (1981), 365-398.
[9] B. Watson, New examples of strictly almost Kähler manifolds, Proc. Amer. Math. Soc., 88 (1983), 541-544.
[10] K. Yano, Differential geometry on complex and almost complex spaces, New York, Pergamon, 1965.

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

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