Pseudo-Kähler metrics on six-dimensional nilpotent Lie algebras

Journal of Geometry and Physics

Volumn 50, Issue 1-4, 2004, Pages 115-137

  Cordero, Luis A ^a   Fernández, Marisa ^b   Ugarte, Luis ^c  

^a UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

^b UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

^c UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

Complex structure; Curvature; Nilpotent Lie algebra; Pseudo K hler metric; Symplectic form

Indexed keywords

EID: 1542404065     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geomphys.2003.12.003     Document Type: Article

References (9)

1. Benson C. Gordon C.S. Kähler and symplectic structures on nilmanifolds Topology 27 1988 513-518
2. Cordero L.A. Fernández M. Gray A. Ugarte L. Nilpotent complex structures on compact nilmanifolds Rend. Circolo Mat. Palermo 49 Suppl. 1997 83-100
3. Cordero L.A. Fernández M. Gray A. Ugarte L. Compact nilmanifolds with nilpotent complex structure: Dolbeault cohomology Trans. Am. Math. Soc. 352 2000 5405-5433
4. Cordero L.A. Fernández M. Ugarte L. Lefschetz complex conditions for complex manifolds Ann. Glob. Anal. Geom. 22 2002 355-373
5. Cordero L.A. Fernández M. Ugarte L. Abelian complex structures on 6-dimensional compact nilmanifolds Comment. Math. Univ. Carolinae 43 2002 215-229
6. A. Fino, M. Parton, S. Salamon, Families of strong KT structures in six dimensions, Preprint DG/0209259, Comment. Math. Helv., in press
7. Hasegawa K. Minimal models of nilmanifolds Proc. Am. Math. Soc. 106 1989 65-71
8. Salamon S. Complex structures on nilpotent Lie algebras J. Pure Appl. Algebra 157 2001 311-333
9. Thurston W.P. Some simple examples of symplectic manifolds Proc. Am. Math. Soc. 55 1976 467-468