An integrability theorem for almost Kähler 4-manifolds;Un théorème d'intégrabilité pour les 4-variétés presque-kählériennes

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 329, Issue 5, 1999, Pages 413-418

  Apostolov, Vestislav ^a,b   Dråghici, Tedi ^c   Kotschick, Dieter ^d  

^a INSTITUTE OF MATHEMATICS AND INFORMATICS   (Bulgaria)

^b UNIVERSITY OF OXFORD   (United Kingdom)

^c NORTHEASTERN ILLINOIS UNIVERSITY   (United States)

^d Mathematisches Institut   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17944388882     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)88616-4     Document Type: Article

References (8)

1. [1] Apostolov V., Dråghici T., Almost Kähler 4-manifolds with J-invariant Ricci tensor and special Weyl tensor, Quart. J. Math. Oxford (to appear).
2. [2] Blair D.E., Ianus S., Critical associated metrics on symplectic manifolds, Contemp. Math. 51 (1986) 23-29.
3. [3] Davidov J., Mus̊karov O, Twistor spaces with Hermitian Ricci tensor, Proc. Amer. Math. Soc. 109 (4) (1990) 1115-1120.
4. [4] Gray A., Curvature identities for Hermitian and almost Hermitian manifolds, Tôhoku Math. J. 28 (1976) 601-612.
5. [5] Goldberg S.I., Integrability of almost Kähler manifolds, Proc. Amer. Math. Soc. 21 (1969) 96-100.
6. [6] Hervella L.M., Fernandez M., Curvature and characteristic classes of an almost-Hermitian manifold, Tensor, N.S. 31 (1997) 138-140.
7. [7] Lichnerowicz A., Théorie globale des connexions et des groupes d'holonomie, Edizioni Cremonese, Roma, 1962.
8. [8] Tricerri F., Vanhecke L., Curvature tensors on almost Hermitian manifolds, Trans. Amer. Math. Soc. 267 (1981) 365-398.