Neutral Calabi-Yau structures on Kodaira manifolds

Communications in Mathematical Physics

Volumn 248, Issue 2, 2004, Pages 255-268

  Fino, Anna ^a   Pedersen, Henrik ^b   Poon, Yat Sun ^c   Sørensen, Marianne Weye ^b  

^a UNIVERSITY OF TURIN   (Italy)

^b UNIVERSITY OF SOUTHERN DENMARK   (Denmark)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3242665374     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1108-5     Document Type: Article

References (22)

1. Barth, W., Peters, C., Van de Yen, A.: Compact complex surfaces. Berlin-Heidelberg-New York: Springer-Verlag, 1984
2. Benson, C., Gordon, C. S.: Kähler and symplectic structures on nilmanifolds. Topology 27, 513-518 (1988)
3. Boyom, N. B.: Models for solvable symplectic Lie groups. Indiana Univ. Math. J. 42, 1149-1168 (1993)
4. Boyom, N. B.: Varietes symplectiques affine. Manuscripta Math. 64, 1-33 (1989)
5. Bryant, R.: Pseudo-Riemannian metrics with parallel spinor fields and vanishing Ricci tensor. In: Global Analysis and Harmonic Analysis (Marseille-Luminy, 1999) demin Congr. 4, Paris: Soc. Math. France, 2000, pp. 53-94
6. Campana, F.: Remarques sur les groups de Kähler nilpotents. C. R. Acad. Sci. Paris 317, 777-780 (1993)
7. de Andres, L. C., Fernandez, M., Gray, A., Mencia, J. J.: Moduli spaces of complex structures on compact four-dimensional nilmanifolds. Boll. Un. Mat. Ital. A (7) 5(3), 381-389 (1991)
8. Dotti, I., Fino, A.: Hypercomplex 8-dimensional nilpotent Lie groups. J. Pure Appl. Algebra 184(1), 41-57 (2003)
9. Dotti, I., Fino, A.: Hypercomplex nilpotent Lie groups. In: Global Differential Geometry: The Mathematical Legacy of Alfred Gray (Bilbao, 2000), Contemp. Math. 241, Providence, RI: AMS, 2001, pp. 310-314
10. Deligne, P., Griffiths, P., Morgan, J., Sullivan, D.: Real homotopy theory of kähler manifolds. Invent. Math. 29, 245-274 (1975)
11. Fernandez, M., Gotay, M. J., Gray, A.: Compact parallelizable four-dimensional symplectic and complex manifolds. Proc. Am. Math. Soc. 103(4), 1209-1212 (1988)
12. Fino, A.: Cotangent bundle of hypercomplex 4-dimensional Lie groups. Manuscripta Math. 109(4), 527-541 (2002)
13. Hasegawa, K.: Minimal models of nilmanifolds. Proc. Am. Math. Soc. 106, 65-71 (1989)
14. Hitchin, N. J.: Hypersymplectic quotients, Acta Academiae Scientiarum Tauriensis, Supplemento al numero 124, 169-180 (1990)
15. Hitchin, N. J.: The moduli space of special Lagrangian submanifolds. Dedicated to Ennio De Giorgi. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 25(3-4), 503-515 (1997)
16. Hull, C. M.: Actions for (2, 1) sigma-models and strings. Nucl. Phys. B 509(2), 252-272 (1998)
17. Kamada, H.: Neutral hyper-kähler structures on primary Kodaira surfaces. Tsukuba J. Math. 23(2), 321-332 (1999)
18. Kodaira, K.: On the structure of compact complex analytic surfaces, I. Am. J. Math. 86, 751-798 (1964)
19. Malcev, A. I.: On a class of homogeneous spaces. Reprinted in Am. Math. Soc. Translations, Series 1, 9, 276-307 (1962)
20. Palais, R. S., Stewart, T. E.: Torus bundles over a torus. Proc. Am. Math. Soc. 12, 26-29 (1961)
21. Salamon, S.: Complex structures on nilpotent Lie algebras. J. Pure Appl. Algebra 157(2-3), 311-333 (2001)
22. Thurston, W. P.: Some simple examples of symplectic manifolds. Proc. Am. Math. Soc. 55(2), 467-468 (1976)