RT Journal Article
T1 Cohomologically Kähler manifolds with no Kähler metrics.
A1 Fernández, Marisa
A1 Muñoz, Vicente
A1 Santisteban, José A.
AB We show some examples of compact symplectic solvmanifolds, of dimension greater than four, which are cohomologically Kähler and do not admit Kähler metric since their fundamental groups cannot be the fundamental group of any compact Kähler manifold. Some of the examples that we study were considered by Benson and Gordon (1990). However, whether such manifolds have Kähler metrics was anopen question. The formality and the hard Lefschetz property are studied for the symplectic submanifolds constructed by Auroux (1997) and some consequences are discussed.
PB Hindawi Publishing Corporation
SN 0161-1712
YR 2003
FD 2003
LK https://hdl.handle.net/20.500.14352/58459
UL https://hdl.handle.net/20.500.14352/58459
LA eng
NO MCYT
NO Research Training
DS Docta Complutense
RD 6 abr 2025