Full paper in PDF:
$%A. Tralle (Szczecin), Rational Models of Solvmanifolds with Kählerian Structures, Rev. Mat. Univ. Complut. Madrid 10 (1997), no. 1, 157–176.%$

Rational Models of Solvmanifolds with Kählerian Structures
Aleksei TRALLE (Szczecin)
Instytut Matematyki
Uniwersytet Szczeciński
Wielkopolska 15
70-451 Szczecin 3 — Poland

Received: November 23, 1995
Revised: March 18, 1996
ABSTRACT

We investigate the existence of symplectic non-Kählerian structures on compact solvmanifolds and prove some results which give strong necessary conditions for the existence of Kählerian structures in terms of rational homotopy theory. Our results explain known examples and generalize the Benson-Gordon theorem (Benson and Gordon (1990); our method allows us to drop the assumption of the complete solvability of G).

1980 Mathematics Subject Classification (1985 revision): 53C15, 55P62.